What is the Greatest Common Factor of 16625 and 16635?

Greatest common factor (GCF) of 16625 and 16635 is 5.

GCF(16625,16635) = 5

We will now calculate the prime factors of 16625 and 16635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16625 and 16635.

How to find the GCF of 16625 and 16635?

We will first find the prime factorization of 16625 and 16635. After we will calculate the factors of 16625 and 16635 and find the biggest common factor number .

Step-1: Prime Factorization of 16625

Prime factors of 16625 are 5, 7, 19. Prime factorization of 16625 in exponential form is:

16625 = 5³ × 7¹ × 19¹

Step-2: Prime Factorization of 16635

Prime factors of 16635 are 3, 5, 1109. Prime factorization of 16635 in exponential form is:

16635 = 3¹ × 5¹ × 1109¹

Step-3: Factors of 16625

List of positive integer factors of 16625 that divides 16625 without a remainder.

1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, 3325

Step-4: Factors of 16635

List of positive integer factors of 16635 that divides 16625 without a remainder.

1, 3, 5, 15, 1109, 3327, 5545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16625 and 16635. The biggest common factor number is the GCF number.
So the greatest common factor 16625 and 16635 is 5.

Also check out the Least Common Multiple of 16625 and 16635