What is the Greatest Common Factor of 59228 and 59232?

Greatest common factor (GCF) of 59228 and 59232 is 4.

GCF(59228,59232) = 4

We will now calculate the prime factors of 59228 and 59232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59228 and 59232.

How to find the GCF of 59228 and 59232?

We will first find the prime factorization of 59228 and 59232. After we will calculate the factors of 59228 and 59232 and find the biggest common factor number .

Step-1: Prime Factorization of 59228

Prime factors of 59228 are 2, 13, 17, 67. Prime factorization of 59228 in exponential form is:

59228 = 2² × 13¹ × 17¹ × 67¹

Step-2: Prime Factorization of 59232

Prime factors of 59232 are 2, 3, 617. Prime factorization of 59232 in exponential form is:

59232 = 2⁵ × 3¹ × 617¹

Step-3: Factors of 59228

List of positive integer factors of 59228 that divides 59228 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 67, 68, 134, 221, 268, 442, 871, 884, 1139, 1742, 2278, 3484, 4556, 14807, 29614

Step-4: Factors of 59232

List of positive integer factors of 59232 that divides 59228 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 617, 1234, 1851, 2468, 3702, 4936, 7404, 9872, 14808, 19744, 29616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59228 and 59232. The biggest common factor number is the GCF number.
So the greatest common factor 59228 and 59232 is 4.

Also check out the Least Common Multiple of 59228 and 59232