What is the Greatest Common Factor of 59232 and 59248?

Greatest common factor (GCF) of 59232 and 59248 is 16.

GCF(59232,59248) = 16

We will now calculate the prime factors of 59232 and 59248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59232 and 59248.

How to find the GCF of 59232 and 59248?

We will first find the prime factorization of 59232 and 59248. After we will calculate the factors of 59232 and 59248 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 59248

Prime factors of 59248 are 2, 7, 23. Prime factorization of 59248 in exponential form is:

59248 = 2⁴ × 7¹ × 23²

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 59248

List of positive integer factors of 59248 that divides 59232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 529, 644, 1058, 1288, 2116, 2576, 3703, 4232, 7406, 8464, 14812, 29624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59232 and 59248. The biggest common factor number is the GCF number.
So the greatest common factor 59232 and 59248 is 16.

Also check out the Least Common Multiple of 59232 and 59248