What is the Greatest Common Factor of 95625 and 95640?

Greatest common factor (GCF) of 95625 and 95640 is 15.

GCF(95625,95640) = 15

We will now calculate the prime factors of 95625 and 95640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95625 and 95640.

How to find the GCF of 95625 and 95640?

We will first find the prime factorization of 95625 and 95640. After we will calculate the factors of 95625 and 95640 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95640

Prime factors of 95640 are 2, 3, 5, 797. Prime factorization of 95640 in exponential form is:

95640 = 2³ × 3¹ × 5¹ × 797¹

Step-3: Factors of 95625

List of positive integer factors of 95625 that divides 95625 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

Step-4: Factors of 95640

List of positive integer factors of 95640 that divides 95625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 797, 1594, 2391, 3188, 3985, 4782, 6376, 7970, 9564, 11955, 15940, 19128, 23910, 31880, 47820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95625 and 95640. The biggest common factor number is the GCF number.
So the greatest common factor 95625 and 95640 is 15.

Also check out the Least Common Multiple of 95625 and 95640