What is the Greatest Common Factor of 56408 and 56412?

Greatest common factor (GCF) of 56408 and 56412 is 4.

GCF(56408,56412) = 4

We will now calculate the prime factors of 56408 and 56412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56408 and 56412.

How to find the GCF of 56408 and 56412?

We will first find the prime factorization of 56408 and 56412. After we will calculate the factors of 56408 and 56412 and find the biggest common factor number .

Step-1: Prime Factorization of 56408

Prime factors of 56408 are 2, 11, 641. Prime factorization of 56408 in exponential form is:

56408 = 2³ × 11¹ × 641¹

Step-2: Prime Factorization of 56412

Prime factors of 56412 are 2, 3, 1567. Prime factorization of 56412 in exponential form is:

56412 = 2² × 3² × 1567¹

Step-3: Factors of 56408

List of positive integer factors of 56408 that divides 56408 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 641, 1282, 2564, 5128, 7051, 14102, 28204

Step-4: Factors of 56412

List of positive integer factors of 56412 that divides 56408 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1567, 3134, 4701, 6268, 9402, 14103, 18804, 28206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56408 and 56412. The biggest common factor number is the GCF number.
So the greatest common factor 56408 and 56412 is 4.

Also check out the Least Common Multiple of 56408 and 56412