What is the Greatest Common Factor of 54527 and 54538?

Greatest common factor (GCF) of 54527 and 54538 is 11.

GCF(54527,54538) = 11

We will now calculate the prime factors of 54527 and 54538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54527 and 54538.

How to find the GCF of 54527 and 54538?

We will first find the prime factorization of 54527 and 54538. After we will calculate the factors of 54527 and 54538 and find the biggest common factor number .

Step-1: Prime Factorization of 54527

Prime factors of 54527 are 11, 4957. Prime factorization of 54527 in exponential form is:

54527 = 11¹ × 4957¹

Step-2: Prime Factorization of 54538

Prime factors of 54538 are 2, 11, 37, 67. Prime factorization of 54538 in exponential form is:

54538 = 2¹ × 11¹ × 37¹ × 67¹

Step-3: Factors of 54527

List of positive integer factors of 54527 that divides 54527 without a remainder.

1, 11, 4957

Step-4: Factors of 54538

List of positive integer factors of 54538 that divides 54527 without a remainder.

1, 2, 11, 22, 37, 67, 74, 134, 407, 737, 814, 1474, 2479, 4958, 27269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54527 and 54538. The biggest common factor number is the GCF number.
So the greatest common factor 54527 and 54538 is 11.

Also check out the Least Common Multiple of 54527 and 54538