What is the Greatest Common Factor of 31954 and 31963?

Greatest common factor (GCF) of 31954 and 31963 is 1.

GCF(31954,31963) = 1

We will now calculate the prime factors of 31954 and 31963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31954 and 31963.

How to find the GCF of 31954 and 31963?

We will first find the prime factorization of 31954 and 31963. After we will calculate the factors of 31954 and 31963 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 31963

Prime factors of 31963 are 31963. Prime factorization of 31963 in exponential form is:

31963 = 31963¹

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 31963

List of positive integer factors of 31963 that divides 31954 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31954 and 31963. The biggest common factor number is the GCF number.
So the greatest common factor 31954 and 31963 is 1.

Also check out the Least Common Multiple of 31954 and 31963