What is the Greatest Common Factor of 31138 and 31154?

Greatest common factor (GCF) of 31138 and 31154 is 2.

GCF(31138,31154) = 2

We will now calculate the prime factors of 31138 and 31154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31138 and 31154.

How to find the GCF of 31138 and 31154?

We will first find the prime factorization of 31138 and 31154. After we will calculate the factors of 31138 and 31154 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 31154

Prime factors of 31154 are 2, 37, 421. Prime factorization of 31154 in exponential form is:

31154 = 2¹ × 37¹ × 421¹

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 31154

List of positive integer factors of 31154 that divides 31138 without a remainder.

1, 2, 37, 74, 421, 842, 15577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31138 and 31154. The biggest common factor number is the GCF number.
So the greatest common factor 31138 and 31154 is 2.

Also check out the Least Common Multiple of 31138 and 31154