What is the Greatest Common Factor of 79074 and 79079?

Greatest common factor (GCF) of 79074 and 79079 is 1.

GCF(79074,79079) = 1

We will now calculate the prime factors of 79074 and 79079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79074 and 79079.

How to find the GCF of 79074 and 79079?

We will first find the prime factorization of 79074 and 79079. After we will calculate the factors of 79074 and 79079 and find the biggest common factor number .

Step-1: Prime Factorization of 79074

Prime factors of 79074 are 2, 3, 23, 191. Prime factorization of 79074 in exponential form is:

79074 = 2¹ × 3² × 23¹ × 191¹

Step-2: Prime Factorization of 79079

Prime factors of 79079 are 7, 11, 13, 79. Prime factorization of 79079 in exponential form is:

79079 = 7¹ × 11¹ × 13¹ × 79¹

Step-3: Factors of 79074

List of positive integer factors of 79074 that divides 79074 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 191, 207, 382, 414, 573, 1146, 1719, 3438, 4393, 8786, 13179, 26358, 39537

Step-4: Factors of 79079

List of positive integer factors of 79079 that divides 79074 without a remainder.

1, 7, 11, 13, 77, 79, 91, 143, 553, 869, 1001, 1027, 6083, 7189, 11297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79074 and 79079. The biggest common factor number is the GCF number.
So the greatest common factor 79074 and 79079 is 1.

Also check out the Least Common Multiple of 79074 and 79079