What is the Greatest Common Factor of 31961 and 31974?

Greatest common factor (GCF) of 31961 and 31974 is 1.

GCF(31961,31974) = 1

We will now calculate the prime factors of 31961 and 31974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31961 and 31974.

How to find the GCF of 31961 and 31974?

We will first find the prime factorization of 31961 and 31974. After we will calculate the factors of 31961 and 31974 and find the biggest common factor number .

Step-1: Prime Factorization of 31961

Prime factors of 31961 are 31, 1031. Prime factorization of 31961 in exponential form is:

31961 = 31¹ × 1031¹

Step-2: Prime Factorization of 31974

Prime factors of 31974 are 2, 3, 73. Prime factorization of 31974 in exponential form is:

31974 = 2¹ × 3¹ × 73²

Step-3: Factors of 31961

List of positive integer factors of 31961 that divides 31961 without a remainder.

1, 31, 1031

Step-4: Factors of 31974

List of positive integer factors of 31974 that divides 31961 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438, 5329, 10658, 15987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31961 and 31974. The biggest common factor number is the GCF number.
So the greatest common factor 31961 and 31974 is 1.

Also check out the Least Common Multiple of 31961 and 31974