What is the Greatest Common Factor of 7952 and 7966?

Greatest common factor (GCF) of 7952 and 7966 is 14.

GCF(7952,7966) = 14

We will now calculate the prime factors of 7952 and 7966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7952 and 7966.

How to find the GCF of 7952 and 7966?

We will first find the prime factorization of 7952 and 7966. After we will calculate the factors of 7952 and 7966 and find the biggest common factor number .

Step-1: Prime Factorization of 7952

Prime factors of 7952 are 2, 7, 71. Prime factorization of 7952 in exponential form is:

7952 = 2⁴ × 7¹ × 71¹

Step-2: 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-3: Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976

Step-4: Factors of 7966

List of positive integer factors of 7966 that divides 7952 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7952 and 7966. The biggest common factor number is the GCF number.
So the greatest common factor 7952 and 7966 is 14.

Also check out the Least Common Multiple of 7952 and 7966