What is the Greatest Common Factor of 85625 and 85630?

Greatest common factor (GCF) of 85625 and 85630 is 5.

GCF(85625,85630) = 5

We will now calculate the prime factors of 85625 and 85630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85625 and 85630.

How to find the GCF of 85625 and 85630?

We will first find the prime factorization of 85625 and 85630. After we will calculate the factors of 85625 and 85630 and find the biggest common factor number .

Step-1: Prime Factorization of 85625

Prime factors of 85625 are 5, 137. Prime factorization of 85625 in exponential form is:

85625 = 5⁴ × 137¹

Step-2: Prime Factorization of 85630

Prime factors of 85630 are 2, 5, 8563. Prime factorization of 85630 in exponential form is:

85630 = 2¹ × 5¹ × 8563¹

Step-3: Factors of 85625

List of positive integer factors of 85625 that divides 85625 without a remainder.

1, 5, 25, 125, 137, 625, 685, 3425, 17125

Step-4: Factors of 85630

List of positive integer factors of 85630 that divides 85625 without a remainder.

1, 2, 5, 10, 8563, 17126, 42815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85625 and 85630. The biggest common factor number is the GCF number.
So the greatest common factor 85625 and 85630 is 5.

Also check out the Least Common Multiple of 85625 and 85630