What is the Greatest Common Factor of 59232 and 59238?

Greatest common factor (GCF) of 59232 and 59238 is 6.

GCF(59232,59238) = 6

We will now calculate the prime factors of 59232 and 59238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59232 and 59238.

How to find the GCF of 59232 and 59238?

We will first find the prime factorization of 59232 and 59238. After we will calculate the factors of 59232 and 59238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59238

Prime factors of 59238 are 2, 3, 1097. Prime factorization of 59238 in exponential form is:

59238 = 2¹ × 3³ × 1097¹

Step-3: Factors of 59232

List of positive integer factors of 59232 that divides 59232 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

Step-4: Factors of 59238

List of positive integer factors of 59238 that divides 59232 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1097, 2194, 3291, 6582, 9873, 19746, 29619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59232 and 59238. The biggest common factor number is the GCF number.
So the greatest common factor 59232 and 59238 is 6.

Also check out the Least Common Multiple of 59232 and 59238