What is the Greatest Common Factor of 56538 and 56553?

Greatest common factor (GCF) of 56538 and 56553 is 3.

GCF(56538,56553) = 3

We will now calculate the prime factors of 56538 and 56553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56538 and 56553.

How to find the GCF of 56538 and 56553?

We will first find the prime factorization of 56538 and 56553. After we will calculate the factors of 56538 and 56553 and find the biggest common factor number .

Step-1: Prime Factorization of 56538

Prime factors of 56538 are 2, 3, 349. Prime factorization of 56538 in exponential form is:

56538 = 2¹ × 3⁴ × 349¹

Step-2: Prime Factorization of 56553

Prime factors of 56553 are 3, 7, 2693. Prime factorization of 56553 in exponential form is:

56553 = 3¹ × 7¹ × 2693¹

Step-3: Factors of 56538

List of positive integer factors of 56538 that divides 56538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 349, 698, 1047, 2094, 3141, 6282, 9423, 18846, 28269

Step-4: Factors of 56553

List of positive integer factors of 56553 that divides 56538 without a remainder.

1, 3, 7, 21, 2693, 8079, 18851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56538 and 56553. The biggest common factor number is the GCF number.
So the greatest common factor 56538 and 56553 is 3.

Also check out the Least Common Multiple of 56538 and 56553