What is the Greatest Common Factor of 95100 and 95112?

Greatest common factor (GCF) of 95100 and 95112 is 12.

GCF(95100,95112) = 12

We will now calculate the prime factors of 95100 and 95112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95100 and 95112.

How to find the GCF of 95100 and 95112?

We will first find the prime factorization of 95100 and 95112. After we will calculate the factors of 95100 and 95112 and find the biggest common factor number .

Step-1: Prime Factorization of 95100

Prime factors of 95100 are 2, 3, 5, 317. Prime factorization of 95100 in exponential form is:

95100 = 2² × 3¹ × 5² × 317¹

Step-2: Prime Factorization of 95112

Prime factors of 95112 are 2, 3, 1321. Prime factorization of 95112 in exponential form is:

95112 = 2³ × 3² × 1321¹

Step-3: Factors of 95100

List of positive integer factors of 95100 that divides 95100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 317, 634, 951, 1268, 1585, 1902, 3170, 3804, 4755, 6340, 7925, 9510, 15850, 19020, 23775, 31700, 47550

Step-4: Factors of 95112

List of positive integer factors of 95112 that divides 95100 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1321, 2642, 3963, 5284, 7926, 10568, 11889, 15852, 23778, 31704, 47556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95100 and 95112. The biggest common factor number is the GCF number.
So the greatest common factor 95100 and 95112 is 12.

Also check out the Least Common Multiple of 95100 and 95112