What is the Greatest Common Factor of 67625 and 67635?

Greatest common factor (GCF) of 67625 and 67635 is 5.

GCF(67625,67635) = 5

We will now calculate the prime factors of 67625 and 67635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67625 and 67635.

How to find the GCF of 67625 and 67635?

We will first find the prime factorization of 67625 and 67635. After we will calculate the factors of 67625 and 67635 and find the biggest common factor number .

Step-1: Prime Factorization of 67625

Prime factors of 67625 are 5, 541. Prime factorization of 67625 in exponential form is:

67625 = 5³ × 541¹

Step-2: Prime Factorization of 67635

Prime factors of 67635 are 3, 5, 167. Prime factorization of 67635 in exponential form is:

67635 = 3⁴ × 5¹ × 167¹

Step-3: Factors of 67625

List of positive integer factors of 67625 that divides 67625 without a remainder.

1, 5, 25, 125, 541, 2705, 13525

Step-4: Factors of 67635

List of positive integer factors of 67635 that divides 67625 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 167, 405, 501, 835, 1503, 2505, 4509, 7515, 13527, 22545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67625 and 67635. The biggest common factor number is the GCF number.
So the greatest common factor 67625 and 67635 is 5.

Also check out the Least Common Multiple of 67625 and 67635