What is the Greatest Common Factor of 538 and 548?

Greatest common factor (GCF) of 538 and 548 is 2.

GCF(538,548) = 2

We will now calculate the prime factors of 538 and 548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 538 and 548.

How to find the GCF of 538 and 548?

We will first find the prime factorization of 538 and 548. After we will calculate the factors of 538 and 548 and find the biggest common factor number .

Step-1: Prime Factorization of 538

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

538 = 2¹ × 269¹

Step-2: Prime Factorization of 548

Prime factors of 548 are 2, 137. Prime factorization of 548 in exponential form is:

548 = 2² × 137¹

Step-3: Factors of 538

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

1, 2, 269

Step-4: Factors of 548

List of positive integer factors of 548 that divides 538 without a remainder.

1, 2, 4, 137, 274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 538 and 548. The biggest common factor number is the GCF number.
So the greatest common factor 538 and 548 is 2.

Also check out the Least Common Multiple of 538 and 548