What is the Greatest Common Factor of 66199 and 66213?

Greatest common factor (GCF) of 66199 and 66213 is 7.

GCF(66199,66213) = 7

We will now calculate the prime factors of 66199 and 66213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66199 and 66213.

How to find the GCF of 66199 and 66213?

We will first find the prime factorization of 66199 and 66213. After we will calculate the factors of 66199 and 66213 and find the biggest common factor number .

Step-1: Prime Factorization of 66199

Prime factors of 66199 are 7, 193. Prime factorization of 66199 in exponential form is:

66199 = 7³ × 193¹

Step-2: Prime Factorization of 66213

Prime factors of 66213 are 3, 7, 1051. Prime factorization of 66213 in exponential form is:

66213 = 3² × 7¹ × 1051¹

Step-3: Factors of 66199

List of positive integer factors of 66199 that divides 66199 without a remainder.

1, 7, 49, 193, 343, 1351, 9457

Step-4: Factors of 66213

List of positive integer factors of 66213 that divides 66199 without a remainder.

1, 3, 7, 9, 21, 63, 1051, 3153, 7357, 9459, 22071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66199 and 66213. The biggest common factor number is the GCF number.
So the greatest common factor 66199 and 66213 is 7.

Also check out the Least Common Multiple of 66199 and 66213