What is the Greatest Common Factor of 78199 and 78210?

Greatest common factor (GCF) of 78199 and 78210 is 11.

GCF(78199,78210) = 11

We will now calculate the prime factors of 78199 and 78210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78199 and 78210.

How to find the GCF of 78199 and 78210?

We will first find the prime factorization of 78199 and 78210. After we will calculate the factors of 78199 and 78210 and find the biggest common factor number .

Step-1: Prime Factorization of 78199

Prime factors of 78199 are 11, 7109. Prime factorization of 78199 in exponential form is:

78199 = 11¹ × 7109¹

Step-2: Prime Factorization of 78210

Prime factors of 78210 are 2, 3, 5, 11, 79. Prime factorization of 78210 in exponential form is:

78210 = 2¹ × 3² × 5¹ × 11¹ × 79¹

Step-3: Factors of 78199

List of positive integer factors of 78199 that divides 78199 without a remainder.

1, 11, 7109

Step-4: Factors of 78210

List of positive integer factors of 78210 that divides 78199 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 79, 90, 99, 110, 158, 165, 198, 237, 330, 395, 474, 495, 711, 790, 869, 990, 1185, 1422, 1738, 2370, 2607, 3555, 4345, 5214, 7110, 7821, 8690, 13035, 15642, 26070, 39105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78199 and 78210. The biggest common factor number is the GCF number.
So the greatest common factor 78199 and 78210 is 11.

Also check out the Least Common Multiple of 78199 and 78210