What is the Greatest Common Factor of 59349 and 59366?

Greatest common factor (GCF) of 59349 and 59366 is 1.

GCF(59349,59366) = 1

We will now calculate the prime factors of 59349 and 59366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59349 and 59366.

How to find the GCF of 59349 and 59366?

We will first find the prime factorization of 59349 and 59366. After we will calculate the factors of 59349 and 59366 and find the biggest common factor number .

Step-1: Prime Factorization of 59349

Prime factors of 59349 are 3, 73, 271. Prime factorization of 59349 in exponential form is:

59349 = 3¹ × 73¹ × 271¹

Step-2: Prime Factorization of 59366

Prime factors of 59366 are 2, 29683. Prime factorization of 59366 in exponential form is:

59366 = 2¹ × 29683¹

Step-3: Factors of 59349

List of positive integer factors of 59349 that divides 59349 without a remainder.

1, 3, 73, 219, 271, 813, 19783

Step-4: Factors of 59366

List of positive integer factors of 59366 that divides 59349 without a remainder.

1, 2, 29683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59349 and 59366. The biggest common factor number is the GCF number.
So the greatest common factor 59349 and 59366 is 1.

Also check out the Least Common Multiple of 59349 and 59366