What is the Greatest Common Factor of 56224 and 56232?

Greatest common factor (GCF) of 56224 and 56232 is 8.

GCF(56224,56232) = 8

We will now calculate the prime factors of 56224 and 56232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56224 and 56232.

How to find the GCF of 56224 and 56232?

We will first find the prime factorization of 56224 and 56232. After we will calculate the factors of 56224 and 56232 and find the biggest common factor number .

Step-1: Prime Factorization of 56224

Prime factors of 56224 are 2, 7, 251. Prime factorization of 56224 in exponential form is:

56224 = 2⁵ × 7¹ × 251¹

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 56224

List of positive integer factors of 56224 that divides 56224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 251, 502, 1004, 1757, 2008, 3514, 4016, 7028, 8032, 14056, 28112

Step-4: Factors of 56232

List of positive integer factors of 56232 that divides 56224 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 56224 and 56232. The biggest common factor number is the GCF number.
So the greatest common factor 56224 and 56232 is 8.

Also check out the Least Common Multiple of 56224 and 56232