What is the Greatest Common Factor of 130 and 136?

Greatest common factor (GCF) of 130 and 136 is 2.

GCF(130,136) = 2

We will now calculate the prime factors of 130 and 136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 130 and 136.

How to find the GCF of 130 and 136?

We will first find the prime factorization of 130 and 136. After we will calculate the factors of 130 and 136 and find the biggest common factor number .

Step-1: Prime Factorization of 130

Prime factors of 130 are 2, 5, 13. Prime factorization of 130 in exponential form is:

130 = 2¹ × 5¹ × 13¹

Step-2: Prime Factorization of 136

Prime factors of 136 are 2, 17. Prime factorization of 136 in exponential form is:

136 = 2³ × 17¹

Step-3: Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65

Step-4: Factors of 136

List of positive integer factors of 136 that divides 130 without a remainder.

1, 2, 4, 8, 17, 34, 68

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 130 and 136. The biggest common factor number is the GCF number.
So the greatest common factor 130 and 136 is 2.

Also check out the Least Common Multiple of 130 and 136