What is the Greatest Common Factor of 59199 and 59219?

Greatest common factor (GCF) of 59199 and 59219 is 1.

GCF(59199,59219) = 1

We will now calculate the prime factors of 59199 and 59219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59199 and 59219.

How to find the GCF of 59199 and 59219?

We will first find the prime factorization of 59199 and 59219. After we will calculate the factors of 59199 and 59219 and find the biggest common factor number .

Step-1: Prime Factorization of 59199

Prime factors of 59199 are 3, 7, 2819. Prime factorization of 59199 in exponential form is:

59199 = 3¹ × 7¹ × 2819¹

Step-2: Prime Factorization of 59219

Prime factors of 59219 are 59219. Prime factorization of 59219 in exponential form is:

59219 = 59219¹

Step-3: Factors of 59199

List of positive integer factors of 59199 that divides 59199 without a remainder.

1, 3, 7, 21, 2819, 8457, 19733

Step-4: Factors of 59219

List of positive integer factors of 59219 that divides 59199 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59199 and 59219. The biggest common factor number is the GCF number.
So the greatest common factor 59199 and 59219 is 1.

Also check out the Least Common Multiple of 59199 and 59219