What is the Greatest Common Factor of 77138 and 77156?

Greatest common factor (GCF) of 77138 and 77156 is 2.

GCF(77138,77156) = 2

We will now calculate the prime factors of 77138 and 77156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77138 and 77156.

How to find the GCF of 77138 and 77156?

We will first find the prime factorization of 77138 and 77156. After we will calculate the factors of 77138 and 77156 and find the biggest common factor number .

Step-1: Prime Factorization of 77138

Prime factors of 77138 are 2, 38569. Prime factorization of 77138 in exponential form is:

77138 = 2¹ × 38569¹

Step-2: Prime Factorization of 77156

Prime factors of 77156 are 2, 19289. Prime factorization of 77156 in exponential form is:

77156 = 2² × 19289¹

Step-3: Factors of 77138

List of positive integer factors of 77138 that divides 77138 without a remainder.

1, 2, 38569

Step-4: Factors of 77156

List of positive integer factors of 77156 that divides 77138 without a remainder.

1, 2, 4, 19289, 38578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77138 and 77156. The biggest common factor number is the GCF number.
So the greatest common factor 77138 and 77156 is 2.

Also check out the Least Common Multiple of 77138 and 77156