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What is the Greatest Common Factor of 56424 and 56444?

Greatest common factor (GCF) of 56424 and 56444 is 4.

GCF(56424,56444) = 4

We will now calculate the prime factors of 56424 and 56444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56424 and 56444.

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How to find the GCF of 56424 and 56444?

We will first find the prime factorization of 56424 and 56444. After we will calculate the factors of 56424 and 56444 and find the biggest common factor number .

Step-1: Prime Factorization of 56424

Prime factors of 56424 are 2, 3, 2351. Prime factorization of 56424 in exponential form is:

56424 = 23 × 31 × 23511

Step-2: Prime Factorization of 56444

Prime factors of 56444 are 2, 103, 137. Prime factorization of 56444 in exponential form is:

56444 = 22 × 1031 × 1371

Step-3: Factors of 56424

List of positive integer factors of 56424 that divides 56424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2351, 4702, 7053, 9404, 14106, 18808, 28212

Step-4: Factors of 56444

List of positive integer factors of 56444 that divides 56424 without a remainder.

1, 2, 4, 103, 137, 206, 274, 412, 548, 14111, 28222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56424 and 56444. The biggest common factor number is the GCF number.
So the greatest common factor 56424 and 56444 is 4.

Also check out the Least Common Multiple of 56424 and 56444