What is the Greatest Common Factor of 59199 and 59214?

Greatest common factor (GCF) of 59199 and 59214 is 3.

GCF(59199,59214) = 3

We will now calculate the prime factors of 59199 and 59214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59199 and 59214.

How to find the GCF of 59199 and 59214?

We will first find the prime factorization of 59199 and 59214. After we will calculate the factors of 59199 and 59214 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 59214

Prime factors of 59214 are 2, 3, 71, 139. Prime factorization of 59214 in exponential form is:

59214 = 2¹ × 3¹ × 71¹ × 139¹

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 59214

List of positive integer factors of 59214 that divides 59199 without a remainder.

1, 2, 3, 6, 71, 139, 142, 213, 278, 417, 426, 834, 9869, 19738, 29607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59199 and 59214. The biggest common factor number is the GCF number.
So the greatest common factor 59199 and 59214 is 3.

Also check out the Least Common Multiple of 59199 and 59214