What is the Greatest Common Factor of 945 and 961?

Greatest common factor (GCF) of 945 and 961 is 1.

GCF(945,961) = 1

We will now calculate the prime factors of 945 and 961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 945 and 961.

How to find the GCF of 945 and 961?

We will first find the prime factorization of 945 and 961. After we will calculate the factors of 945 and 961 and find the biggest common factor number .

Step-1: Prime Factorization of 945

Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:

945 = 3³ × 5¹ × 7¹

Step-2: Prime Factorization of 961

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

961 = 31²

Step-3: Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315

Step-4: Factors of 961

List of positive integer factors of 961 that divides 945 without a remainder.

1, 31

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 945 and 961. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 961 is 1.

Also check out the Least Common Multiple of 945 and 961