What is the Greatest Common Factor of 95610 and 95625?

Greatest common factor (GCF) of 95610 and 95625 is 15.

GCF(95610,95625) = 15

We will now calculate the prime factors of 95610 and 95625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95610 and 95625.

How to find the GCF of 95610 and 95625?

We will first find the prime factorization of 95610 and 95625. After we will calculate the factors of 95610 and 95625 and find the biggest common factor number .

Step-1: Prime Factorization of 95610

Prime factors of 95610 are 2, 3, 5, 3187. Prime factorization of 95610 in exponential form is:

95610 = 2¹ × 3¹ × 5¹ × 3187¹

Step-2: Prime Factorization of 95625

Prime factors of 95625 are 3, 5, 17. Prime factorization of 95625 in exponential form is:

95625 = 3² × 5⁴ × 17¹

Step-3: Factors of 95610

List of positive integer factors of 95610 that divides 95610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3187, 6374, 9561, 15935, 19122, 31870, 47805

Step-4: Factors of 95625

List of positive integer factors of 95625 that divides 95610 without a remainder.

1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 125, 153, 225, 255, 375, 425, 625, 765, 1125, 1275, 1875, 2125, 3825, 5625, 6375, 10625, 19125, 31875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95610 and 95625. The biggest common factor number is the GCF number.
So the greatest common factor 95610 and 95625 is 15.

Also check out the Least Common Multiple of 95610 and 95625