What is the Greatest Common Factor of 79266 and 79281?

Greatest common factor (GCF) of 79266 and 79281 is 3.

GCF(79266,79281) = 3

We will now calculate the prime factors of 79266 and 79281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79266 and 79281.

How to find the GCF of 79266 and 79281?

We will first find the prime factorization of 79266 and 79281. After we will calculate the factors of 79266 and 79281 and find the biggest common factor number .

Step-1: Prime Factorization of 79266

Prime factors of 79266 are 2, 3, 11, 1201. Prime factorization of 79266 in exponential form is:

79266 = 2¹ × 3¹ × 11¹ × 1201¹

Step-2: Prime Factorization of 79281

Prime factors of 79281 are 3, 23, 383. Prime factorization of 79281 in exponential form is:

79281 = 3² × 23¹ × 383¹

Step-3: Factors of 79266

List of positive integer factors of 79266 that divides 79266 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1201, 2402, 3603, 7206, 13211, 26422, 39633

Step-4: Factors of 79281

List of positive integer factors of 79281 that divides 79266 without a remainder.

1, 3, 9, 23, 69, 207, 383, 1149, 3447, 8809, 26427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79266 and 79281. The biggest common factor number is the GCF number.
So the greatest common factor 79266 and 79281 is 3.

Also check out the Least Common Multiple of 79266 and 79281