What is the Greatest Common Factor of 59397 and 59414?

Greatest common factor (GCF) of 59397 and 59414 is 1.

GCF(59397,59414) = 1

We will now calculate the prime factors of 59397 and 59414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59397 and 59414.

How to find the GCF of 59397 and 59414?

We will first find the prime factorization of 59397 and 59414. After we will calculate the factors of 59397 and 59414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59414

Prime factors of 59414 are 2, 61, 487. Prime factorization of 59414 in exponential form is:

59414 = 2¹ × 61¹ × 487¹

Step-3: Factors of 59397

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

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

Step-4: Factors of 59414

List of positive integer factors of 59414 that divides 59397 without a remainder.

1, 2, 61, 122, 487, 974, 29707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59397 and 59414. The biggest common factor number is the GCF number.
So the greatest common factor 59397 and 59414 is 1.

Also check out the Least Common Multiple of 59397 and 59414