What is the Greatest Common Factor of 59360 and 59374?

Greatest common factor (GCF) of 59360 and 59374 is 14.

GCF(59360,59374) = 14

We will now calculate the prime factors of 59360 and 59374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59360 and 59374.

How to find the GCF of 59360 and 59374?

We will first find the prime factorization of 59360 and 59374. After we will calculate the factors of 59360 and 59374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59374

Prime factors of 59374 are 2, 7, 4241. Prime factorization of 59374 in exponential form is:

59374 = 2¹ × 7¹ × 4241¹

Step-3: Factors of 59360

List of positive integer factors of 59360 that divides 59360 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

Step-4: Factors of 59374

List of positive integer factors of 59374 that divides 59360 without a remainder.

1, 2, 7, 14, 4241, 8482, 29687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59360 and 59374. The biggest common factor number is the GCF number.
So the greatest common factor 59360 and 59374 is 14.

Also check out the Least Common Multiple of 59360 and 59374