What is the Greatest Common Factor of 95625 and 95645?

Greatest common factor (GCF) of 95625 and 95645 is 5.

GCF(95625,95645) = 5

We will now calculate the prime factors of 95625 and 95645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95625 and 95645.

How to find the GCF of 95625 and 95645?

We will first find the prime factorization of 95625 and 95645. After we will calculate the factors of 95625 and 95645 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 95645

Prime factors of 95645 are 5, 11, 37, 47. Prime factorization of 95645 in exponential form is:

95645 = 5¹ × 11¹ × 37¹ × 47¹

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 95645

List of positive integer factors of 95645 that divides 95625 without a remainder.

1, 5, 11, 37, 47, 55, 185, 235, 407, 517, 1739, 2035, 2585, 8695, 19129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95625 and 95645. The biggest common factor number is the GCF number.
So the greatest common factor 95625 and 95645 is 5.

Also check out the Least Common Multiple of 95625 and 95645