What is the Greatest Common Factor of 79067 and 79084?

Greatest common factor (GCF) of 79067 and 79084 is 17.

GCF(79067,79084) = 17

We will now calculate the prime factors of 79067 and 79084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79067 and 79084.

How to find the GCF of 79067 and 79084?

We will first find the prime factorization of 79067 and 79084. After we will calculate the factors of 79067 and 79084 and find the biggest common factor number .

Step-1: Prime Factorization of 79067

Prime factors of 79067 are 17, 4651. Prime factorization of 79067 in exponential form is:

79067 = 17¹ × 4651¹

Step-2: Prime Factorization of 79084

Prime factors of 79084 are 2, 17, 1163. Prime factorization of 79084 in exponential form is:

79084 = 2² × 17¹ × 1163¹

Step-3: Factors of 79067

List of positive integer factors of 79067 that divides 79067 without a remainder.

1, 17, 4651

Step-4: Factors of 79084

List of positive integer factors of 79084 that divides 79067 without a remainder.

1, 2, 4, 17, 34, 68, 1163, 2326, 4652, 19771, 39542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79067 and 79084. The biggest common factor number is the GCF number.
So the greatest common factor 79067 and 79084 is 17.

Also check out the Least Common Multiple of 79067 and 79084