What is the Greatest Common Factor of 538 and 544?

Greatest common factor (GCF) of 538 and 544 is 2.

GCF(538,544) = 2

We will now calculate the prime factors of 538 and 544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 538 and 544.

How to find the GCF of 538 and 544?

We will first find the prime factorization of 538 and 544. After we will calculate the factors of 538 and 544 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 544

Prime factors of 544 are 2, 17. Prime factorization of 544 in exponential form is:

544 = 2⁵ × 17¹

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 544

List of positive integer factors of 544 that divides 538 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 538 and 544. The biggest common factor number is the GCF number.
So the greatest common factor 538 and 544 is 2.

Also check out the Least Common Multiple of 538 and 544