What is the Greatest Common Factor of 59392 and 59397?

Greatest common factor (GCF) of 59392 and 59397 is 1.

GCF(59392,59397) = 1

We will now calculate the prime factors of 59392 and 59397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59392 and 59397.

How to find the GCF of 59392 and 59397?

We will first find the prime factorization of 59392 and 59397. After we will calculate the factors of 59392 and 59397 and find the biggest common factor number .

Step-1: Prime Factorization of 59392

Prime factors of 59392 are 2, 29. Prime factorization of 59392 in exponential form is:

59392 = 2¹¹ × 29¹

Step-2: Prime Factorization of 59397

Prime factors of 59397 are 3, 13, 1523. Prime factorization of 59397 in exponential form is:

59397 = 3¹ × 13¹ × 1523¹

Step-3: Factors of 59392

List of positive integer factors of 59392 that divides 59392 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1024, 1856, 2048, 3712, 7424, 14848, 29696

Step-4: Factors of 59397

List of positive integer factors of 59397 that divides 59392 without a remainder.

1, 3, 13, 39, 1523, 4569, 19799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59392 and 59397. The biggest common factor number is the GCF number.
So the greatest common factor 59392 and 59397 is 1.

Also check out the Least Common Multiple of 59392 and 59397