What is the Greatest Common Factor of 80138 and 80156?

Greatest common factor (GCF) of 80138 and 80156 is 2.

GCF(80138,80156) = 2

We will now calculate the prime factors of 80138 and 80156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80138 and 80156.

How to find the GCF of 80138 and 80156?

We will first find the prime factorization of 80138 and 80156. After we will calculate the factors of 80138 and 80156 and find the biggest common factor number .

Step-1: Prime Factorization of 80138

Prime factors of 80138 are 2, 17, 2357. Prime factorization of 80138 in exponential form is:

80138 = 2¹ × 17¹ × 2357¹

Step-2: Prime Factorization of 80156

Prime factors of 80156 are 2, 29, 691. Prime factorization of 80156 in exponential form is:

80156 = 2² × 29¹ × 691¹

Step-3: Factors of 80138

List of positive integer factors of 80138 that divides 80138 without a remainder.

1, 2, 17, 34, 2357, 4714, 40069

Step-4: Factors of 80156

List of positive integer factors of 80156 that divides 80138 without a remainder.

1, 2, 4, 29, 58, 116, 691, 1382, 2764, 20039, 40078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80138 and 80156. The biggest common factor number is the GCF number.
So the greatest common factor 80138 and 80156 is 2.

Also check out the Least Common Multiple of 80138 and 80156