What is the Greatest Common Factor of 56491 and 56508?

Greatest common factor (GCF) of 56491 and 56508 is 17.

GCF(56491,56508) = 17

We will now calculate the prime factors of 56491 and 56508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56491 and 56508.

How to find the GCF of 56491 and 56508?

We will first find the prime factorization of 56491 and 56508. After we will calculate the factors of 56491 and 56508 and find the biggest common factor number .

Step-1: Prime Factorization of 56491

Prime factors of 56491 are 17, 3323. Prime factorization of 56491 in exponential form is:

56491 = 17¹ × 3323¹

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 56491

List of positive integer factors of 56491 that divides 56491 without a remainder.

1, 17, 3323

Step-4: Factors of 56508

List of positive integer factors of 56508 that divides 56491 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 56491 and 56508. The biggest common factor number is the GCF number.
So the greatest common factor 56491 and 56508 is 17.

Also check out the Least Common Multiple of 56491 and 56508