What is the Greatest Common Factor of 95952 and 95964?

Greatest common factor (GCF) of 95952 and 95964 is 12.

GCF(95952,95964) = 12

We will now calculate the prime factors of 95952 and 95964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95952 and 95964.

How to find the GCF of 95952 and 95964?

We will first find the prime factorization of 95952 and 95964. After we will calculate the factors of 95952 and 95964 and find the biggest common factor number .

Step-1: Prime Factorization of 95952

Prime factors of 95952 are 2, 3, 1999. Prime factorization of 95952 in exponential form is:

95952 = 2⁴ × 3¹ × 1999¹

Step-2: Prime Factorization of 95964

Prime factors of 95964 are 2, 3, 11, 727. Prime factorization of 95964 in exponential form is:

95964 = 2² × 3¹ × 11¹ × 727¹

Step-3: Factors of 95952

List of positive integer factors of 95952 that divides 95952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1999, 3998, 5997, 7996, 11994, 15992, 23988, 31984, 47976

Step-4: Factors of 95964

List of positive integer factors of 95964 that divides 95952 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 727, 1454, 2181, 2908, 4362, 7997, 8724, 15994, 23991, 31988, 47982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95952 and 95964. The biggest common factor number is the GCF number.
So the greatest common factor 95952 and 95964 is 12.

Also check out the Least Common Multiple of 95952 and 95964