What is the Greatest Common Factor of 961 and 969?

Greatest common factor (GCF) of 961 and 969 is 1.

GCF(961,969) = 1

We will now calculate the prime factors of 961 and 969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 961 and 969.

How to find the GCF of 961 and 969?

We will first find the prime factorization of 961 and 969. After we will calculate the factors of 961 and 969 and find the biggest common factor number .

Step-1: Prime Factorization of 961

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 31²

Step-2: Prime Factorization of 969

Prime factors of 969 are 3, 17, 19. Prime factorization of 969 in exponential form is:

969 = 3¹ × 17¹ × 19¹

Step-3: Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1, 31

Step-4: Factors of 969

List of positive integer factors of 969 that divides 961 without a remainder.

1, 3, 17, 19, 51, 57, 323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 961 and 969. The biggest common factor number is the GCF number.
So the greatest common factor 961 and 969 is 1.

Also check out the Least Common Multiple of 961 and 969