What is the Greatest Common Factor of 31138 and 31156?

Greatest common factor (GCF) of 31138 and 31156 is 2.

GCF(31138,31156) = 2

We will now calculate the prime factors of 31138 and 31156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31138 and 31156.

How to find the GCF of 31138 and 31156?

We will first find the prime factorization of 31138 and 31156. After we will calculate the factors of 31138 and 31156 and find the biggest common factor number .

Step-1: Prime Factorization of 31138

Prime factors of 31138 are 2, 15569. Prime factorization of 31138 in exponential form is:

31138 = 2¹ × 15569¹

Step-2: Prime Factorization of 31156

Prime factors of 31156 are 2, 7789. Prime factorization of 31156 in exponential form is:

31156 = 2² × 7789¹

Step-3: Factors of 31138

List of positive integer factors of 31138 that divides 31138 without a remainder.

1, 2, 15569

Step-4: Factors of 31156

List of positive integer factors of 31156 that divides 31138 without a remainder.

1, 2, 4, 7789, 15578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31138 and 31156. The biggest common factor number is the GCF number.
So the greatest common factor 31138 and 31156 is 2.

Also check out the Least Common Multiple of 31138 and 31156