What is the Greatest Common Factor of 31378 and 31386?

Greatest common factor (GCF) of 31378 and 31386 is 2.

GCF(31378,31386) = 2

We will now calculate the prime factors of 31378 and 31386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31378 and 31386.

How to find the GCF of 31378 and 31386?

We will first find the prime factorization of 31378 and 31386. After we will calculate the factors of 31378 and 31386 and find the biggest common factor number .

Step-1: Prime Factorization of 31378

Prime factors of 31378 are 2, 29, 541. Prime factorization of 31378 in exponential form is:

31378 = 2¹ × 29¹ × 541¹

Step-2: Prime Factorization of 31386

Prime factors of 31386 are 2, 3, 5231. Prime factorization of 31386 in exponential form is:

31386 = 2¹ × 3¹ × 5231¹

Step-3: Factors of 31378

List of positive integer factors of 31378 that divides 31378 without a remainder.

1, 2, 29, 58, 541, 1082, 15689

Step-4: Factors of 31386

List of positive integer factors of 31386 that divides 31378 without a remainder.

1, 2, 3, 6, 5231, 10462, 15693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31378 and 31386. The biggest common factor number is the GCF number.
So the greatest common factor 31378 and 31386 is 2.

Also check out the Least Common Multiple of 31378 and 31386