What is the Greatest Common Factor of 79178 and 79189?

Greatest common factor (GCF) of 79178 and 79189 is 11.

GCF(79178,79189) = 11

We will now calculate the prime factors of 79178 and 79189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79178 and 79189.

How to find the GCF of 79178 and 79189?

We will first find the prime factorization of 79178 and 79189. After we will calculate the factors of 79178 and 79189 and find the biggest common factor number .

Step-1: Prime Factorization of 79178

Prime factors of 79178 are 2, 11, 59, 61. Prime factorization of 79178 in exponential form is:

79178 = 2¹ × 11¹ × 59¹ × 61¹

Step-2: 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-3: Factors of 79178

List of positive integer factors of 79178 that divides 79178 without a remainder.

1, 2, 11, 22, 59, 61, 118, 122, 649, 671, 1298, 1342, 3599, 7198, 39589

Step-4: Factors of 79189

List of positive integer factors of 79189 that divides 79178 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79178 and 79189. The biggest common factor number is the GCF number.
So the greatest common factor 79178 and 79189 is 11.

Also check out the Least Common Multiple of 79178 and 79189