What is the Greatest Common Factor of 59383 and 59388?

Greatest common factor (GCF) of 59383 and 59388 is 1.

GCF(59383,59388) = 1

We will now calculate the prime factors of 59383 and 59388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59383 and 59388.

How to find the GCF of 59383 and 59388?

We will first find the prime factorization of 59383 and 59388. After we will calculate the factors of 59383 and 59388 and find the biggest common factor number .

Step-1: Prime Factorization of 59383

Prime factors of 59383 are 43, 1381. Prime factorization of 59383 in exponential form is:

59383 = 43¹ × 1381¹

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 59383

List of positive integer factors of 59383 that divides 59383 without a remainder.

1, 43, 1381

Step-4: Factors of 59388

List of positive integer factors of 59388 that divides 59383 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 59383 and 59388. The biggest common factor number is the GCF number.
So the greatest common factor 59383 and 59388 is 1.

Also check out the Least Common Multiple of 59383 and 59388