What is the Greatest Common Factor of 59353 and 59360?

Greatest common factor (GCF) of 59353 and 59360 is 7.

GCF(59353,59360) = 7

We will now calculate the prime factors of 59353 and 59360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59353 and 59360.

How to find the GCF of 59353 and 59360?

We will first find the prime factorization of 59353 and 59360. After we will calculate the factors of 59353 and 59360 and find the biggest common factor number .

Step-1: Prime Factorization of 59353

Prime factors of 59353 are 7, 61, 139. Prime factorization of 59353 in exponential form is:

59353 = 7¹ × 61¹ × 139¹

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 59353

List of positive integer factors of 59353 that divides 59353 without a remainder.

1, 7, 61, 139, 427, 973, 8479

Step-4: Factors of 59360

List of positive integer factors of 59360 that divides 59353 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 59353 and 59360. The biggest common factor number is the GCF number.
So the greatest common factor 59353 and 59360 is 7.

Also check out the Least Common Multiple of 59353 and 59360