What is the Greatest Common Factor of 31964 and 31971?

Greatest common factor (GCF) of 31964 and 31971 is 1.

GCF(31964,31971) = 1

We will now calculate the prime factors of 31964 and 31971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31964 and 31971.

How to find the GCF of 31964 and 31971?

We will first find the prime factorization of 31964 and 31971. After we will calculate the factors of 31964 and 31971 and find the biggest common factor number .

Step-1: Prime Factorization of 31964

Prime factors of 31964 are 2, 61, 131. Prime factorization of 31964 in exponential form is:

31964 = 2² × 61¹ × 131¹

Step-2: Prime Factorization of 31971

Prime factors of 31971 are 3, 10657. Prime factorization of 31971 in exponential form is:

31971 = 3¹ × 10657¹

Step-3: Factors of 31964

List of positive integer factors of 31964 that divides 31964 without a remainder.

1, 2, 4, 61, 122, 131, 244, 262, 524, 7991, 15982

Step-4: Factors of 31971

List of positive integer factors of 31971 that divides 31964 without a remainder.

1, 3, 10657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31964 and 31971. The biggest common factor number is the GCF number.
So the greatest common factor 31964 and 31971 is 1.

Also check out the Least Common Multiple of 31964 and 31971