What is the Greatest Common Factor of 527 and 538?

Greatest common factor (GCF) of 527 and 538 is 1.

GCF(527,538) = 1

We will now calculate the prime factors of 527 and 538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 527 and 538.

How to find the GCF of 527 and 538?

We will first find the prime factorization of 527 and 538. After we will calculate the factors of 527 and 538 and find the biggest common factor number .

Step-1: Prime Factorization of 527

Prime factors of 527 are 17, 31. Prime factorization of 527 in exponential form is:

527 = 17¹ × 31¹

Step-2: Prime Factorization of 538

Prime factors of 538 are 2, 269. Prime factorization of 538 in exponential form is:

538 = 2¹ × 269¹

Step-3: Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1, 17, 31

Step-4: Factors of 538

List of positive integer factors of 538 that divides 527 without a remainder.

1, 2, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 527 and 538. The biggest common factor number is the GCF number.
So the greatest common factor 527 and 538 is 1.

Also check out the Least Common Multiple of 527 and 538