What is the Greatest Common Factor of 79074 and 79080?

Greatest common factor (GCF) of 79074 and 79080 is 6.

GCF(79074,79080) = 6

We will now calculate the prime factors of 79074 and 79080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79074 and 79080.

How to find the GCF of 79074 and 79080?

We will first find the prime factorization of 79074 and 79080. After we will calculate the factors of 79074 and 79080 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 79080

Prime factors of 79080 are 2, 3, 5, 659. Prime factorization of 79080 in exponential form is:

79080 = 2³ × 3¹ × 5¹ × 659¹

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 79080

List of positive integer factors of 79080 that divides 79074 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 659, 1318, 1977, 2636, 3295, 3954, 5272, 6590, 7908, 9885, 13180, 15816, 19770, 26360, 39540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79074 and 79080. The biggest common factor number is the GCF number.
So the greatest common factor 79074 and 79080 is 6.

Also check out the Least Common Multiple of 79074 and 79080