What is the Greatest Common Factor of 59199 and 59205?

Greatest common factor (GCF) of 59199 and 59205 is 3.

GCF(59199,59205) = 3

We will now calculate the prime factors of 59199 and 59205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59199 and 59205.

How to find the GCF of 59199 and 59205?

We will first find the prime factorization of 59199 and 59205. After we will calculate the factors of 59199 and 59205 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 59205

Prime factors of 59205 are 3, 5, 3947. Prime factorization of 59205 in exponential form is:

59205 = 3¹ × 5¹ × 3947¹

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 59205

List of positive integer factors of 59205 that divides 59199 without a remainder.

1, 3, 5, 15, 3947, 11841, 19735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59199 and 59205. The biggest common factor number is the GCF number.
So the greatest common factor 59199 and 59205 is 3.

Also check out the Least Common Multiple of 59199 and 59205