What is the Greatest Common Factor of 59355 and 59360?

Greatest common factor (GCF) of 59355 and 59360 is 5.

GCF(59355,59360) = 5

We will now calculate the prime factors of 59355 and 59360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59355 and 59360.

How to find the GCF of 59355 and 59360?

We will first find the prime factorization of 59355 and 59360. After we will calculate the factors of 59355 and 59360 and find the biggest common factor number .

Step-1: Prime Factorization of 59355

Prime factors of 59355 are 3, 5, 1319. Prime factorization of 59355 in exponential form is:

59355 = 3² × 5¹ × 1319¹

Step-2: Prime Factorization of 59360

Prime factors of 59360 are 2, 5, 7, 53. Prime factorization of 59360 in exponential form is:

59360 = 2⁵ × 5¹ × 7¹ × 53¹

Step-3: Factors of 59355

List of positive integer factors of 59355 that divides 59355 without a remainder.

1, 3, 5, 9, 15, 45, 1319, 3957, 6595, 11871, 19785

Step-4: Factors of 59360

List of positive integer factors of 59360 that divides 59355 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 53, 56, 70, 80, 106, 112, 140, 160, 212, 224, 265, 280, 371, 424, 530, 560, 742, 848, 1060, 1120, 1484, 1696, 1855, 2120, 2968, 3710, 4240, 5936, 7420, 8480, 11872, 14840, 29680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59355 and 59360. The biggest common factor number is the GCF number.
So the greatest common factor 59355 and 59360 is 5.

Also check out the Least Common Multiple of 59355 and 59360