What is the Greatest Common Factor of 31964 and 31981?

Greatest common factor (GCF) of 31964 and 31981 is 1.

GCF(31964,31981) = 1

We will now calculate the prime factors of 31964 and 31981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31964 and 31981.

How to find the GCF of 31964 and 31981?

We will first find the prime factorization of 31964 and 31981. After we will calculate the factors of 31964 and 31981 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 31981

Prime factors of 31981 are 31981. Prime factorization of 31981 in exponential form is:

31981 = 31981¹

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 31981

List of positive integer factors of 31981 that divides 31964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31964 and 31981. The biggest common factor number is the GCF number.
So the greatest common factor 31964 and 31981 is 1.

Also check out the Least Common Multiple of 31964 and 31981