What is the Greatest Common Factor of 56499 and 56508?

Greatest common factor (GCF) of 56499 and 56508 is 3.

GCF(56499,56508) = 3

We will now calculate the prime factors of 56499 and 56508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56499 and 56508.

How to find the GCF of 56499 and 56508?

We will first find the prime factorization of 56499 and 56508. After we will calculate the factors of 56499 and 56508 and find the biggest common factor number .

Step-1: Prime Factorization of 56499

Prime factors of 56499 are 3, 37, 509. Prime factorization of 56499 in exponential form is:

56499 = 3¹ × 37¹ × 509¹

Step-2: Prime Factorization of 56508

Prime factors of 56508 are 2, 3, 17, 277. Prime factorization of 56508 in exponential form is:

56508 = 2² × 3¹ × 17¹ × 277¹

Step-3: Factors of 56499

List of positive integer factors of 56499 that divides 56499 without a remainder.

1, 3, 37, 111, 509, 1527, 18833

Step-4: Factors of 56508

List of positive integer factors of 56508 that divides 56499 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 277, 554, 831, 1108, 1662, 3324, 4709, 9418, 14127, 18836, 28254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56499 and 56508. The biggest common factor number is the GCF number.
So the greatest common factor 56499 and 56508 is 3.

Also check out the Least Common Multiple of 56499 and 56508