What is the Greatest Common Factor of 7952 and 7968?

Greatest common factor (GCF) of 7952 and 7968 is 16.

GCF(7952,7968) = 16

We will now calculate the prime factors of 7952 and 7968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7952 and 7968.

How to find the GCF of 7952 and 7968?

We will first find the prime factorization of 7952 and 7968. After we will calculate the factors of 7952 and 7968 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 7968

Prime factors of 7968 are 2, 3, 83. Prime factorization of 7968 in exponential form is:

7968 = 2⁵ × 3¹ × 83¹

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 7968

List of positive integer factors of 7968 that divides 7952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7952 and 7968. The biggest common factor number is the GCF number.
So the greatest common factor 7952 and 7968 is 16.

Also check out the Least Common Multiple of 7952 and 7968