What is the Greatest Common Factor of 59232 and 59240?

Greatest common factor (GCF) of 59232 and 59240 is 8.

GCF(59232,59240) = 8

We will now calculate the prime factors of 59232 and 59240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59232 and 59240.

How to find the GCF of 59232 and 59240?

We will first find the prime factorization of 59232 and 59240. After we will calculate the factors of 59232 and 59240 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 59240

Prime factors of 59240 are 2, 5, 1481. Prime factorization of 59240 in exponential form is:

59240 = 2³ × 5¹ × 1481¹

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 59240

List of positive integer factors of 59240 that divides 59232 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1481, 2962, 5924, 7405, 11848, 14810, 29620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59232 and 59240. The biggest common factor number is the GCF number.
So the greatest common factor 59232 and 59240 is 8.

Also check out the Least Common Multiple of 59232 and 59240