What is the Greatest Common Factor of 31954 and 31961?

Greatest common factor (GCF) of 31954 and 31961 is 1.

GCF(31954,31961) = 1

We will now calculate the prime factors of 31954 and 31961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31954 and 31961.

How to find the GCF of 31954 and 31961?

We will first find the prime factorization of 31954 and 31961. After we will calculate the factors of 31954 and 31961 and find the biggest common factor number .

Step-1: Prime Factorization of 31954

Prime factors of 31954 are 2, 13, 1229. Prime factorization of 31954 in exponential form is:

31954 = 2¹ × 13¹ × 1229¹

Step-2: Prime Factorization of 31961

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

31961 = 31¹ × 1031¹

Step-3: Factors of 31954

List of positive integer factors of 31954 that divides 31954 without a remainder.

1, 2, 13, 26, 1229, 2458, 15977

Step-4: Factors of 31961

List of positive integer factors of 31961 that divides 31954 without a remainder.

1, 31, 1031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31954 and 31961. The biggest common factor number is the GCF number.
So the greatest common factor 31954 and 31961 is 1.

Also check out the Least Common Multiple of 31954 and 31961