What is the Greatest Common Factor of 42625 and 42635?

Greatest common factor (GCF) of 42625 and 42635 is 5.

GCF(42625,42635) = 5

We will now calculate the prime factors of 42625 and 42635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42625 and 42635.

How to find the GCF of 42625 and 42635?

We will first find the prime factorization of 42625 and 42635. After we will calculate the factors of 42625 and 42635 and find the biggest common factor number .

Step-1: Prime Factorization of 42625

Prime factors of 42625 are 5, 11, 31. Prime factorization of 42625 in exponential form is:

42625 = 5³ × 11¹ × 31¹

Step-2: Prime Factorization of 42635

Prime factors of 42635 are 5, 8527. Prime factorization of 42635 in exponential form is:

42635 = 5¹ × 8527¹

Step-3: Factors of 42625

List of positive integer factors of 42625 that divides 42625 without a remainder.

1, 5, 11, 25, 31, 55, 125, 155, 275, 341, 775, 1375, 1705, 3875, 8525

Step-4: Factors of 42635

List of positive integer factors of 42635 that divides 42625 without a remainder.

1, 5, 8527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42625 and 42635. The biggest common factor number is the GCF number.
So the greatest common factor 42625 and 42635 is 5.

Also check out the Least Common Multiple of 42625 and 42635