What is the Greatest Common Factor of 56322 and 56336?

Greatest common factor (GCF) of 56322 and 56336 is 14.

GCF(56322,56336) = 14

We will now calculate the prime factors of 56322 and 56336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56322 and 56336.

How to find the GCF of 56322 and 56336?

We will first find the prime factorization of 56322 and 56336. After we will calculate the factors of 56322 and 56336 and find the biggest common factor number .

Step-1: Prime Factorization of 56322

Prime factors of 56322 are 2, 3, 7, 149. Prime factorization of 56322 in exponential form is:

56322 = 2¹ × 3³ × 7¹ × 149¹

Step-2: Prime Factorization of 56336

Prime factors of 56336 are 2, 7, 503. Prime factorization of 56336 in exponential form is:

56336 = 2⁴ × 7¹ × 503¹

Step-3: Factors of 56322

List of positive integer factors of 56322 that divides 56322 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 149, 189, 298, 378, 447, 894, 1043, 1341, 2086, 2682, 3129, 4023, 6258, 8046, 9387, 18774, 28161

Step-4: Factors of 56336

List of positive integer factors of 56336 that divides 56322 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 503, 1006, 2012, 3521, 4024, 7042, 8048, 14084, 28168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56322 and 56336. The biggest common factor number is the GCF number.
So the greatest common factor 56322 and 56336 is 14.

Also check out the Least Common Multiple of 56322 and 56336