What is the Greatest Common Factor of 95605 and 95625?

Greatest common factor (GCF) of 95605 and 95625 is 5.

GCF(95605,95625) = 5

We will now calculate the prime factors of 95605 and 95625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95605 and 95625.

How to find the GCF of 95605 and 95625?

We will first find the prime factorization of 95605 and 95625. After we will calculate the factors of 95605 and 95625 and find the biggest common factor number .

Step-1: Prime Factorization of 95605

Prime factors of 95605 are 5, 19121. Prime factorization of 95605 in exponential form is:

95605 = 5¹ × 19121¹

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 95605

List of positive integer factors of 95605 that divides 95605 without a remainder.

1, 5, 19121

Step-4: Factors of 95625

List of positive integer factors of 95625 that divides 95605 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 95605 and 95625. The biggest common factor number is the GCF number.
So the greatest common factor 95605 and 95625 is 5.

Also check out the Least Common Multiple of 95605 and 95625