What is the Greatest Common Factor of 59346 and 59357?

Greatest common factor (GCF) of 59346 and 59357 is 1.

GCF(59346,59357) = 1

We will now calculate the prime factors of 59346 and 59357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59346 and 59357.

How to find the GCF of 59346 and 59357?

We will first find the prime factorization of 59346 and 59357. After we will calculate the factors of 59346 and 59357 and find the biggest common factor number .

Step-1: Prime Factorization of 59346

Prime factors of 59346 are 2, 3, 7, 157. Prime factorization of 59346 in exponential form is:

59346 = 2¹ × 3³ × 7¹ × 157¹

Step-2: Prime Factorization of 59357

Prime factors of 59357 are 59357. Prime factorization of 59357 in exponential form is:

59357 = 59357¹

Step-3: Factors of 59346

List of positive integer factors of 59346 that divides 59346 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 157, 189, 314, 378, 471, 942, 1099, 1413, 2198, 2826, 3297, 4239, 6594, 8478, 9891, 19782, 29673

Step-4: Factors of 59357

List of positive integer factors of 59357 that divides 59346 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59346 and 59357. The biggest common factor number is the GCF number.
So the greatest common factor 59346 and 59357 is 1.

Also check out the Least Common Multiple of 59346 and 59357