What is the Greatest Common Factor of 85625 and 85640?

Greatest common factor (GCF) of 85625 and 85640 is 5.

GCF(85625,85640) = 5

We will now calculate the prime factors of 85625 and 85640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85625 and 85640.

How to find the GCF of 85625 and 85640?

We will first find the prime factorization of 85625 and 85640. After we will calculate the factors of 85625 and 85640 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 85640

Prime factors of 85640 are 2, 5, 2141. Prime factorization of 85640 in exponential form is:

85640 = 2³ × 5¹ × 2141¹

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 85640

List of positive integer factors of 85640 that divides 85625 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2141, 4282, 8564, 10705, 17128, 21410, 42820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85625 and 85640. The biggest common factor number is the GCF number.
So the greatest common factor 85625 and 85640 is 5.

Also check out the Least Common Multiple of 85625 and 85640