What is the Greatest Common Factor of 95100 and 95108?

Greatest common factor (GCF) of 95100 and 95108 is 4.

GCF(95100,95108) = 4

We will now calculate the prime factors of 95100 and 95108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95100 and 95108.

How to find the GCF of 95100 and 95108?

We will first find the prime factorization of 95100 and 95108. After we will calculate the factors of 95100 and 95108 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 95108

Prime factors of 95108 are 2, 13, 31, 59. Prime factorization of 95108 in exponential form is:

95108 = 2² × 13¹ × 31¹ × 59¹

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 95108

List of positive integer factors of 95108 that divides 95100 without a remainder.

1, 2, 4, 13, 26, 31, 52, 59, 62, 118, 124, 236, 403, 767, 806, 1534, 1612, 1829, 3068, 3658, 7316, 23777, 47554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95100 and 95108. The biggest common factor number is the GCF number.
So the greatest common factor 95100 and 95108 is 4.

Also check out the Least Common Multiple of 95100 and 95108