What is the Greatest Common Factor of 56538 and 56550?

Greatest common factor (GCF) of 56538 and 56550 is 6.

GCF(56538,56550) = 6

We will now calculate the prime factors of 56538 and 56550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56538 and 56550.

How to find the GCF of 56538 and 56550?

We will first find the prime factorization of 56538 and 56550. After we will calculate the factors of 56538 and 56550 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 56550

Prime factors of 56550 are 2, 3, 5, 13, 29. Prime factorization of 56550 in exponential form is:

56550 = 2¹ × 3¹ × 5² × 13¹ × 29¹

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 56550

List of positive integer factors of 56550 that divides 56538 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 29, 30, 39, 50, 58, 65, 75, 78, 87, 130, 145, 150, 174, 195, 290, 325, 377, 390, 435, 650, 725, 754, 870, 975, 1131, 1450, 1885, 1950, 2175, 2262, 3770, 4350, 5655, 9425, 11310, 18850, 28275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56538 and 56550. The biggest common factor number is the GCF number.
So the greatest common factor 56538 and 56550 is 6.

Also check out the Least Common Multiple of 56538 and 56550