What is the Greatest Common Factor of 544 and 553?

Greatest common factor (GCF) of 544 and 553 is 1.

GCF(544,553) = 1

We will now calculate the prime factors of 544 and 553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 544 and 553.

How to find the GCF of 544 and 553?

We will first find the prime factorization of 544 and 553. After we will calculate the factors of 544 and 553 and find the biggest common factor number .

Step-1: Prime Factorization of 544

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

544 = 2⁵ × 17¹

Step-2: Prime Factorization of 553

Prime factors of 553 are 7, 79. Prime factorization of 553 in exponential form is:

553 = 7¹ × 79¹

Step-3: Factors of 544

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

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

Step-4: Factors of 553

List of positive integer factors of 553 that divides 544 without a remainder.

1, 7, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 544 and 553. The biggest common factor number is the GCF number.
So the greatest common factor 544 and 553 is 1.

Also check out the Least Common Multiple of 544 and 553