What is the Greatest Common Factor of 56199 and 56214?

Greatest common factor (GCF) of 56199 and 56214 is 3.

GCF(56199,56214) = 3

We will now calculate the prime factors of 56199 and 56214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56199 and 56214.

How to find the GCF of 56199 and 56214?

We will first find the prime factorization of 56199 and 56214. After we will calculate the factors of 56199 and 56214 and find the biggest common factor number .

Step-1: Prime Factorization of 56199

Prime factors of 56199 are 3, 11, 13, 131. Prime factorization of 56199 in exponential form is:

56199 = 3¹ × 11¹ × 13¹ × 131¹

Step-2: Prime Factorization of 56214

Prime factors of 56214 are 2, 3, 347. Prime factorization of 56214 in exponential form is:

56214 = 2¹ × 3⁴ × 347¹

Step-3: Factors of 56199

List of positive integer factors of 56199 that divides 56199 without a remainder.

1, 3, 11, 13, 33, 39, 131, 143, 393, 429, 1441, 1703, 4323, 5109, 18733

Step-4: Factors of 56214

List of positive integer factors of 56214 that divides 56199 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 347, 694, 1041, 2082, 3123, 6246, 9369, 18738, 28107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56199 and 56214. The biggest common factor number is the GCF number.
So the greatest common factor 56199 and 56214 is 3.

Also check out the Least Common Multiple of 56199 and 56214