What is the Greatest Common Factor of 56421 and 56436?

Greatest common factor (GCF) of 56421 and 56436 is 3.

GCF(56421,56436) = 3

We will now calculate the prime factors of 56421 and 56436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56421 and 56436.

How to find the GCF of 56421 and 56436?

We will first find the prime factorization of 56421 and 56436. After we will calculate the factors of 56421 and 56436 and find the biggest common factor number .

Step-1: Prime Factorization of 56421

Prime factors of 56421 are 3, 6269. Prime factorization of 56421 in exponential form is:

56421 = 3² × 6269¹

Step-2: Prime Factorization of 56436

Prime factors of 56436 are 2, 3, 4703. Prime factorization of 56436 in exponential form is:

56436 = 2² × 3¹ × 4703¹

Step-3: Factors of 56421

List of positive integer factors of 56421 that divides 56421 without a remainder.

1, 3, 9, 6269, 18807

Step-4: Factors of 56436

List of positive integer factors of 56436 that divides 56421 without a remainder.

1, 2, 3, 4, 6, 12, 4703, 9406, 14109, 18812, 28218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56421 and 56436. The biggest common factor number is the GCF number.
So the greatest common factor 56421 and 56436 is 3.

Also check out the Least Common Multiple of 56421 and 56436