What is the Greatest Common Factor of 56069 and 56088?

Greatest common factor (GCF) of 56069 and 56088 is 19.

GCF(56069,56088) = 19

We will now calculate the prime factors of 56069 and 56088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56069 and 56088.

How to find the GCF of 56069 and 56088?

We will first find the prime factorization of 56069 and 56088. After we will calculate the factors of 56069 and 56088 and find the biggest common factor number .

Step-1: Prime Factorization of 56069

Prime factors of 56069 are 13, 19, 227. Prime factorization of 56069 in exponential form is:

56069 = 13¹ × 19¹ × 227¹

Step-2: 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-3: Factors of 56069

List of positive integer factors of 56069 that divides 56069 without a remainder.

1, 13, 19, 227, 247, 2951, 4313

Step-4: Factors of 56088

List of positive integer factors of 56088 that divides 56069 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56069 and 56088. The biggest common factor number is the GCF number.
So the greatest common factor 56069 and 56088 is 19.

Also check out the Least Common Multiple of 56069 and 56088