What is the Greatest Common Factor of 95625 and 95633?

Greatest common factor (GCF) of 95625 and 95633 is 1.

GCF(95625,95633) = 1

We will now calculate the prime factors of 95625 and 95633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95625 and 95633.

How to find the GCF of 95625 and 95633?

We will first find the prime factorization of 95625 and 95633. After we will calculate the factors of 95625 and 95633 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 95633

Prime factors of 95633 are 95633. Prime factorization of 95633 in exponential form is:

95633 = 95633¹

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 95633

List of positive integer factors of 95633 that divides 95625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95625 and 95633. The biggest common factor number is the GCF number.
So the greatest common factor 95625 and 95633 is 1.

Also check out the Least Common Multiple of 95625 and 95633