What is the Greatest Common Factor of 33625 and 33640?

Greatest common factor (GCF) of 33625 and 33640 is 5.

GCF(33625,33640) = 5

We will now calculate the prime factors of 33625 and 33640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33625 and 33640.

How to find the GCF of 33625 and 33640?

We will first find the prime factorization of 33625 and 33640. After we will calculate the factors of 33625 and 33640 and find the biggest common factor number .

Step-1: Prime Factorization of 33625

Prime factors of 33625 are 5, 269. Prime factorization of 33625 in exponential form is:

33625 = 5³ × 269¹

Step-2: Prime Factorization of 33640

Prime factors of 33640 are 2, 5, 29. Prime factorization of 33640 in exponential form is:

33640 = 2³ × 5¹ × 29²

Step-3: Factors of 33625

List of positive integer factors of 33625 that divides 33625 without a remainder.

1, 5, 25, 125, 269, 1345, 6725

Step-4: Factors of 33640

List of positive integer factors of 33640 that divides 33625 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 841, 1160, 1682, 3364, 4205, 6728, 8410, 16820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33625 and 33640. The biggest common factor number is the GCF number.
So the greatest common factor 33625 and 33640 is 5.

Also check out the Least Common Multiple of 33625 and 33640