What is the Greatest Common Factor of 95088 and 95100?

Greatest common factor (GCF) of 95088 and 95100 is 12.

GCF(95088,95100) = 12

We will now calculate the prime factors of 95088 and 95100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95088 and 95100.

How to find the GCF of 95088 and 95100?

We will first find the prime factorization of 95088 and 95100. After we will calculate the factors of 95088 and 95100 and find the biggest common factor number .

Step-1: Prime Factorization of 95088

Prime factors of 95088 are 2, 3, 7, 283. Prime factorization of 95088 in exponential form is:

95088 = 2⁴ × 3¹ × 7¹ × 283¹

Step-2: 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-3: Factors of 95088

List of positive integer factors of 95088 that divides 95088 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 283, 336, 566, 849, 1132, 1698, 1981, 2264, 3396, 3962, 4528, 5943, 6792, 7924, 11886, 13584, 15848, 23772, 31696, 47544

Step-4: Factors of 95100

List of positive integer factors of 95100 that divides 95088 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95088 and 95100. The biggest common factor number is the GCF number.
So the greatest common factor 95088 and 95100 is 12.

Also check out the Least Common Multiple of 95088 and 95100