What is the Greatest Common Factor of 32527 and 32538?

Greatest common factor (GCF) of 32527 and 32538 is 11.

GCF(32527,32538) = 11

We will now calculate the prime factors of 32527 and 32538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32527 and 32538.

How to find the GCF of 32527 and 32538?

We will first find the prime factorization of 32527 and 32538. After we will calculate the factors of 32527 and 32538 and find the biggest common factor number .

Step-1: Prime Factorization of 32527

Prime factors of 32527 are 11, 2957. Prime factorization of 32527 in exponential form is:

32527 = 11¹ × 2957¹

Step-2: Prime Factorization of 32538

Prime factors of 32538 are 2, 3, 11, 17, 29. Prime factorization of 32538 in exponential form is:

32538 = 2¹ × 3¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 32527

List of positive integer factors of 32527 that divides 32527 without a remainder.

1, 11, 2957

Step-4: Factors of 32538

List of positive integer factors of 32538 that divides 32527 without a remainder.

1, 2, 3, 6, 11, 17, 22, 29, 33, 34, 51, 58, 66, 87, 102, 174, 187, 319, 374, 493, 561, 638, 957, 986, 1122, 1479, 1914, 2958, 5423, 10846, 16269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32527 and 32538. The biggest common factor number is the GCF number.
So the greatest common factor 32527 and 32538 is 11.

Also check out the Least Common Multiple of 32527 and 32538