What is the Greatest Common Factor of 56214 and 56232?

Greatest common factor (GCF) of 56214 and 56232 is 18.

GCF(56214,56232) = 18

We will now calculate the prime factors of 56214 and 56232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56214 and 56232.

How to find the GCF of 56214 and 56232?

We will first find the prime factorization of 56214 and 56232. After we will calculate the factors of 56214 and 56232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56232

Prime factors of 56232 are 2, 3, 11, 71. Prime factorization of 56232 in exponential form is:

56232 = 2³ × 3² × 11¹ × 71¹

Step-3: Factors of 56214

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

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

Step-4: Factors of 56232

List of positive integer factors of 56232 that divides 56214 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 71, 72, 88, 99, 132, 142, 198, 213, 264, 284, 396, 426, 568, 639, 781, 792, 852, 1278, 1562, 1704, 2343, 2556, 3124, 4686, 5112, 6248, 7029, 9372, 14058, 18744, 28116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56214 and 56232. The biggest common factor number is the GCF number.
So the greatest common factor 56214 and 56232 is 18.

Also check out the Least Common Multiple of 56214 and 56232