What is the Greatest Common Factor of 947 and 962?

Greatest common factor (GCF) of 947 and 962 is 1.

GCF(947,962) = 1

We will now calculate the prime factors of 947 and 962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 947 and 962.

How to find the GCF of 947 and 962?

We will first find the prime factorization of 947 and 962. After we will calculate the factors of 947 and 962 and find the biggest common factor number .

Step-1: Prime Factorization of 947

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 947¹

Step-2: Prime Factorization of 962

Prime factors of 962 are 2, 13, 37. Prime factorization of 962 in exponential form is:

962 = 2¹ × 13¹ × 37¹

Step-3: Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

Step-4: Factors of 962

List of positive integer factors of 962 that divides 947 without a remainder.

1, 2, 13, 26, 37, 74, 481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 947 and 962. The biggest common factor number is the GCF number.
So the greatest common factor 947 and 962 is 1.

Also check out the Least Common Multiple of 947 and 962