What is the Greatest Common Factor of 59378 and 59388?

Greatest common factor (GCF) of 59378 and 59388 is 2.

GCF(59378,59388) = 2

We will now calculate the prime factors of 59378 and 59388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59378 and 59388.

How to find the GCF of 59378 and 59388?

We will first find the prime factorization of 59378 and 59388. After we will calculate the factors of 59378 and 59388 and find the biggest common factor number .

Step-1: Prime Factorization of 59378

Prime factors of 59378 are 2, 11, 2699. Prime factorization of 59378 in exponential form is:

59378 = 2¹ × 11¹ × 2699¹

Step-2: 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-3: Factors of 59378

List of positive integer factors of 59378 that divides 59378 without a remainder.

1, 2, 11, 22, 2699, 5398, 29689

Step-4: Factors of 59388

List of positive integer factors of 59388 that divides 59378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59378 and 59388. The biggest common factor number is the GCF number.
So the greatest common factor 59378 and 59388 is 2.

Also check out the Least Common Multiple of 59378 and 59388