What is the Greatest Common Factor of 31857 and 31877?

Greatest common factor (GCF) of 31857 and 31877 is 1.

GCF(31857,31877) = 1

We will now calculate the prime factors of 31857 and 31877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31857 and 31877.

How to find the GCF of 31857 and 31877?

We will first find the prime factorization of 31857 and 31877. After we will calculate the factors of 31857 and 31877 and find the biggest common factor number .

Step-1: Prime Factorization of 31857

Prime factors of 31857 are 3, 7, 37, 41. Prime factorization of 31857 in exponential form is:

31857 = 3¹ × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 31877

Prime factors of 31877 are 127, 251. Prime factorization of 31877 in exponential form is:

31877 = 127¹ × 251¹

Step-3: Factors of 31857

List of positive integer factors of 31857 that divides 31857 without a remainder.

1, 3, 7, 21, 37, 41, 111, 123, 259, 287, 777, 861, 1517, 4551, 10619

Step-4: Factors of 31877

List of positive integer factors of 31877 that divides 31857 without a remainder.

1, 127, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31857 and 31877. The biggest common factor number is the GCF number.
So the greatest common factor 31857 and 31877 is 1.

Also check out the Least Common Multiple of 31857 and 31877