What is the Greatest Common Factor of 79189 and 79208?

Greatest common factor (GCF) of 79189 and 79208 is 1.

GCF(79189,79208) = 1

We will now calculate the prime factors of 79189 and 79208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79189 and 79208.

How to find the GCF of 79189 and 79208?

We will first find the prime factorization of 79189 and 79208. After we will calculate the factors of 79189 and 79208 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 79208

Prime factors of 79208 are 2, 9901. Prime factorization of 79208 in exponential form is:

79208 = 2³ × 9901¹

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 79208

List of positive integer factors of 79208 that divides 79189 without a remainder.

1, 2, 4, 8, 9901, 19802, 39604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79189 and 79208. The biggest common factor number is the GCF number.
So the greatest common factor 79189 and 79208 is 1.

Also check out the Least Common Multiple of 79189 and 79208