What is the Greatest Common Factor of 79189 and 79198?

Greatest common factor (GCF) of 79189 and 79198 is 1.

GCF(79189,79198) = 1

We will now calculate the prime factors of 79189 and 79198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79189 and 79198.

How to find the GCF of 79189 and 79198?

We will first find the prime factorization of 79189 and 79198. After we will calculate the factors of 79189 and 79198 and find the biggest common factor number .

Step-1: Prime Factorization of 79189

Prime factors of 79189 are 11, 23, 313. Prime factorization of 79189 in exponential form is:

79189 = 11¹ × 23¹ × 313¹

Step-2: Prime Factorization of 79198

Prime factors of 79198 are 2, 7, 5657. Prime factorization of 79198 in exponential form is:

79198 = 2¹ × 7¹ × 5657¹

Step-3: Factors of 79189

List of positive integer factors of 79189 that divides 79189 without a remainder.

1, 11, 23, 253, 313, 3443, 7199

Step-4: Factors of 79198

List of positive integer factors of 79198 that divides 79189 without a remainder.

1, 2, 7, 14, 5657, 11314, 39599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79189 and 79198. The biggest common factor number is the GCF number.
So the greatest common factor 79189 and 79198 is 1.

Also check out the Least Common Multiple of 79189 and 79198