What is the Greatest Common Factor of 95616 and 95628?

Greatest common factor (GCF) of 95616 and 95628 is 12.

GCF(95616,95628) = 12

We will now calculate the prime factors of 95616 and 95628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95616 and 95628.

How to find the GCF of 95616 and 95628?

We will first find the prime factorization of 95616 and 95628. After we will calculate the factors of 95616 and 95628 and find the biggest common factor number .

Step-1: Prime Factorization of 95616

Prime factors of 95616 are 2, 3, 83. Prime factorization of 95616 in exponential form is:

95616 = 2⁷ × 3² × 83¹

Step-2: Prime Factorization of 95628

Prime factors of 95628 are 2, 3, 13, 613. Prime factorization of 95628 in exponential form is:

95628 = 2² × 3¹ × 13¹ × 613¹

Step-3: Factors of 95616

List of positive integer factors of 95616 that divides 95616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 83, 96, 128, 144, 166, 192, 249, 288, 332, 384, 498, 576, 664, 747, 996, 1152, 1328, 1494, 1992, 2656, 2988, 3984, 5312, 5976, 7968, 10624, 11952, 15936, 23904, 31872, 47808

Step-4: Factors of 95628

List of positive integer factors of 95628 that divides 95616 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 613, 1226, 1839, 2452, 3678, 7356, 7969, 15938, 23907, 31876, 47814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95616 and 95628. The biggest common factor number is the GCF number.
So the greatest common factor 95616 and 95628 is 12.

Also check out the Least Common Multiple of 95616 and 95628