What is the Greatest Common Factor of 56034 and 56052?

Greatest common factor (GCF) of 56034 and 56052 is 18.

GCF(56034,56052) = 18

We will now calculate the prime factors of 56034 and 56052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56034 and 56052.

How to find the GCF of 56034 and 56052?

We will first find the prime factorization of 56034 and 56052. After we will calculate the factors of 56034 and 56052 and find the biggest common factor number .

Step-1: Prime Factorization of 56034

Prime factors of 56034 are 2, 3, 11, 283. Prime factorization of 56034 in exponential form is:

56034 = 2¹ × 3² × 11¹ × 283¹

Step-2: Prime Factorization of 56052

Prime factors of 56052 are 2, 3, 173. Prime factorization of 56052 in exponential form is:

56052 = 2² × 3⁴ × 173¹

Step-3: Factors of 56034

List of positive integer factors of 56034 that divides 56034 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 283, 566, 849, 1698, 2547, 3113, 5094, 6226, 9339, 18678, 28017

Step-4: Factors of 56052

List of positive integer factors of 56052 that divides 56034 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 173, 324, 346, 519, 692, 1038, 1557, 2076, 3114, 4671, 6228, 9342, 14013, 18684, 28026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56034 and 56052. The biggest common factor number is the GCF number.
So the greatest common factor 56034 and 56052 is 18.

Also check out the Least Common Multiple of 56034 and 56052