What is the Greatest Common Factor of 95388 and 95400?

Greatest common factor (GCF) of 95388 and 95400 is 12.

GCF(95388,95400) = 12

We will now calculate the prime factors of 95388 and 95400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95388 and 95400.

How to find the GCF of 95388 and 95400?

We will first find the prime factorization of 95388 and 95400. After we will calculate the factors of 95388 and 95400 and find the biggest common factor number .

Step-1: Prime Factorization of 95388

Prime factors of 95388 are 2, 3, 7949. Prime factorization of 95388 in exponential form is:

95388 = 2² × 3¹ × 7949¹

Step-2: Prime Factorization of 95400

Prime factors of 95400 are 2, 3, 5, 53. Prime factorization of 95400 in exponential form is:

95400 = 2³ × 3² × 5² × 53¹

Step-3: Factors of 95388

List of positive integer factors of 95388 that divides 95388 without a remainder.

1, 2, 3, 4, 6, 12, 7949, 15898, 23847, 31796, 47694

Step-4: Factors of 95400

List of positive integer factors of 95400 that divides 95388 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 53, 60, 72, 75, 90, 100, 106, 120, 150, 159, 180, 200, 212, 225, 265, 300, 318, 360, 424, 450, 477, 530, 600, 636, 795, 900, 954, 1060, 1272, 1325, 1590, 1800, 1908, 2120, 2385, 2650, 3180, 3816, 3975, 4770, 5300, 6360, 7950, 9540, 10600, 11925, 15900, 19080, 23850, 31800, 47700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95388 and 95400. The biggest common factor number is the GCF number.
So the greatest common factor 95388 and 95400 is 12.

Also check out the Least Common Multiple of 95388 and 95400