What is the Greatest Common Factor of 42575 and 42595?

Greatest common factor (GCF) of 42575 and 42595 is 5.

GCF(42575,42595) = 5

We will now calculate the prime factors of 42575 and 42595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42575 and 42595.

How to find the GCF of 42575 and 42595?

We will first find the prime factorization of 42575 and 42595. After we will calculate the factors of 42575 and 42595 and find the biggest common factor number .

Step-1: Prime Factorization of 42575

Prime factors of 42575 are 5, 13, 131. Prime factorization of 42575 in exponential form is:

42575 = 5² × 13¹ × 131¹

Step-2: Prime Factorization of 42595

Prime factors of 42595 are 5, 7, 1217. Prime factorization of 42595 in exponential form is:

42595 = 5¹ × 7¹ × 1217¹

Step-3: Factors of 42575

List of positive integer factors of 42575 that divides 42575 without a remainder.

1, 5, 13, 25, 65, 131, 325, 655, 1703, 3275, 8515

Step-4: Factors of 42595

List of positive integer factors of 42595 that divides 42575 without a remainder.

1, 5, 7, 35, 1217, 6085, 8519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42575 and 42595. The biggest common factor number is the GCF number.
So the greatest common factor 42575 and 42595 is 5.

Also check out the Least Common Multiple of 42575 and 42595