What is the Greatest Common Factor of 7966 and 7971?

Greatest common factor (GCF) of 7966 and 7971 is 1.

GCF(7966,7971) = 1

We will now calculate the prime factors of 7966 and 7971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7966 and 7971.

How to find the GCF of 7966 and 7971?

We will first find the prime factorization of 7966 and 7971. After we will calculate the factors of 7966 and 7971 and find the biggest common factor number .

Step-1: Prime Factorization of 7966

Prime factors of 7966 are 2, 7, 569. Prime factorization of 7966 in exponential form is:

7966 = 2¹ × 7¹ × 569¹

Step-2: Prime Factorization of 7971

Prime factors of 7971 are 3, 2657. Prime factorization of 7971 in exponential form is:

7971 = 3¹ × 2657¹

Step-3: Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1, 2, 7, 14, 569, 1138, 3983

Step-4: Factors of 7971

List of positive integer factors of 7971 that divides 7966 without a remainder.

1, 3, 2657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7966 and 7971. The biggest common factor number is the GCF number.
So the greatest common factor 7966 and 7971 is 1.

Also check out the Least Common Multiple of 7966 and 7971