What is the Greatest Common Factor of 95082 and 95100?

Greatest common factor (GCF) of 95082 and 95100 is 6.

GCF(95082,95100) = 6

We will now calculate the prime factors of 95082 and 95100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95082 and 95100.

How to find the GCF of 95082 and 95100?

We will first find the prime factorization of 95082 and 95100. After we will calculate the factors of 95082 and 95100 and find the biggest common factor number .

Step-1: Prime Factorization of 95082

Prime factors of 95082 are 2, 3, 13, 23, 53. Prime factorization of 95082 in exponential form is:

95082 = 2¹ × 3¹ × 13¹ × 23¹ × 53¹

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 95082

List of positive integer factors of 95082 that divides 95082 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 53, 69, 78, 106, 138, 159, 299, 318, 598, 689, 897, 1219, 1378, 1794, 2067, 2438, 3657, 4134, 7314, 15847, 31694, 47541

Step-4: Factors of 95100

List of positive integer factors of 95100 that divides 95082 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 95082 and 95100. The biggest common factor number is the GCF number.
So the greatest common factor 95082 and 95100 is 6.

Also check out the Least Common Multiple of 95082 and 95100