What is the Greatest Common Factor of 56088 and 56092?

Greatest common factor (GCF) of 56088 and 56092 is 4.

GCF(56088,56092) = 4

We will now calculate the prime factors of 56088 and 56092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56088 and 56092.

How to find the GCF of 56088 and 56092?

We will first find the prime factorization of 56088 and 56092. After we will calculate the factors of 56088 and 56092 and find the biggest common factor number .

Step-1: Prime Factorization of 56088

Prime factors of 56088 are 2, 3, 19, 41. Prime factorization of 56088 in exponential form is:

56088 = 2³ × 3² × 19¹ × 41¹

Step-2: Prime Factorization of 56092

Prime factors of 56092 are 2, 37, 379. Prime factorization of 56092 in exponential form is:

56092 = 2² × 37¹ × 379¹

Step-3: Factors of 56088

List of positive integer factors of 56088 that divides 56088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 41, 57, 72, 76, 82, 114, 123, 152, 164, 171, 228, 246, 328, 342, 369, 456, 492, 684, 738, 779, 984, 1368, 1476, 1558, 2337, 2952, 3116, 4674, 6232, 7011, 9348, 14022, 18696, 28044

Step-4: Factors of 56092

List of positive integer factors of 56092 that divides 56088 without a remainder.

1, 2, 4, 37, 74, 148, 379, 758, 1516, 14023, 28046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56088 and 56092. The biggest common factor number is the GCF number.
So the greatest common factor 56088 and 56092 is 4.

Also check out the Least Common Multiple of 56088 and 56092