What is the Greatest Common Factor of 6525 and 6538?

Greatest common factor (GCF) of 6525 and 6538 is 1.

GCF(6525,6538) = 1

We will now calculate the prime factors of 6525 and 6538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6525 and 6538.

How to find the GCF of 6525 and 6538?

We will first find the prime factorization of 6525 and 6538. After we will calculate the factors of 6525 and 6538 and find the biggest common factor number .

Step-1: Prime Factorization of 6525

Prime factors of 6525 are 3, 5, 29. Prime factorization of 6525 in exponential form is:

6525 = 3² × 5² × 29¹

Step-2: Prime Factorization of 6538

Prime factors of 6538 are 2, 7, 467. Prime factorization of 6538 in exponential form is:

6538 = 2¹ × 7¹ × 467¹

Step-3: Factors of 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175

Step-4: Factors of 6538

List of positive integer factors of 6538 that divides 6525 without a remainder.

1, 2, 7, 14, 467, 934, 3269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6525 and 6538. The biggest common factor number is the GCF number.
So the greatest common factor 6525 and 6538 is 1.

Also check out the Least Common Multiple of 6525 and 6538