Namaste, iam Martha Jones, I hope all goes well today.
Hey there! Trying to figure out the highest common factor (HCF) of 108 and 130? Don’t worry, I’m here to help. Let’s break it down and see what we can come up with. First off, the HCF is the largest number that divides both numbers evenly - so let’s get started!
What Is The Hcf Of 108 And 130? [Solved]
Well, the greatest common factor of 108 and 130 is a 2. Ya know, it’s the biggest number that both of ’em can be divided by without any remainders. Pretty cool, huh?
Highest Common Factor (HCF): The highest common factor of 108 and 130 is 26. This is the largest number that can divide both numbers evenly without leaving a remainder.
Prime Factors: To find the HCF, we need to list out the prime factors of each number and then identify any common factors between them. For 108, these are 2 x 2 x 3 x 3 x 3; for 130, these are 2 x 5 x 13.
Common Factors: The only common factor between 108 and 130 is 2, so this is our HCF – 26 (2x13).
Division Method: Another way to find the HCF is by using long division – dividing one number by another until there’s no remainder left over. In this case, we would divide 108 by 130 to get 0 with a remainder of 28; then divide 130 by 28 to get 4 with a remainder of 26; finally divide 28 by 26 to get 1 with no remainder left over – so our HCF is 26 again!
HCF stands for Highest Common Factor, and it’s the largest number that both 108 and 130 can be divided by. So, the HCF of 108 and 130 is 26 - easy peasy!
