What is the Greatest Common Factor of 59388 and 59404?

Greatest common factor (GCF) of 59388 and 59404 is 4.

GCF(59388,59404) = 4

We will now calculate the prime factors of 59388 and 59404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59388 and 59404.

How to find the GCF of 59388 and 59404?

We will first find the prime factorization of 59388 and 59404. After we will calculate the factors of 59388 and 59404 and find the biggest common factor number .

Step-1: Prime Factorization of 59388

Prime factors of 59388 are 2, 3, 7, 101. Prime factorization of 59388 in exponential form is:

59388 = 2² × 3¹ × 7² × 101¹

Step-2: Prime Factorization of 59404

Prime factors of 59404 are 2, 14851. Prime factorization of 59404 in exponential form is:

59404 = 2² × 14851¹

Step-3: Factors of 59388

List of positive integer factors of 59388 that divides 59388 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 101, 147, 196, 202, 294, 303, 404, 588, 606, 707, 1212, 1414, 2121, 2828, 4242, 4949, 8484, 9898, 14847, 19796, 29694

Step-4: Factors of 59404

List of positive integer factors of 59404 that divides 59388 without a remainder.

1, 2, 4, 14851, 29702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59388 and 59404. The biggest common factor number is the GCF number.
So the greatest common factor 59388 and 59404 is 4.

Also check out the Least Common Multiple of 59388 and 59404