What is the Greatest Common Factor of 95625 and 95642?

Greatest common factor (GCF) of 95625 and 95642 is 17.

GCF(95625,95642) = 17

We will now calculate the prime factors of 95625 and 95642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95625 and 95642.

How to find the GCF of 95625 and 95642?

We will first find the prime factorization of 95625 and 95642. After we will calculate the factors of 95625 and 95642 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 95642

Prime factors of 95642 are 2, 17, 29, 97. Prime factorization of 95642 in exponential form is:

95642 = 2¹ × 17¹ × 29¹ × 97¹

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 95642

List of positive integer factors of 95642 that divides 95625 without a remainder.

1, 2, 17, 29, 34, 58, 97, 194, 493, 986, 1649, 2813, 3298, 5626, 47821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95625 and 95642. The biggest common factor number is the GCF number.
So the greatest common factor 95625 and 95642 is 17.

Also check out the Least Common Multiple of 95625 and 95642