What is the Greatest Common Factor of 79266 and 79278?

Greatest common factor (GCF) of 79266 and 79278 is 6.

GCF(79266,79278) = 6

We will now calculate the prime factors of 79266 and 79278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79266 and 79278.

How to find the GCF of 79266 and 79278?

We will first find the prime factorization of 79266 and 79278. After we will calculate the factors of 79266 and 79278 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 79278

Prime factors of 79278 are 2, 3, 73, 181. Prime factorization of 79278 in exponential form is:

79278 = 2¹ × 3¹ × 73¹ × 181¹

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 79278

List of positive integer factors of 79278 that divides 79266 without a remainder.

1, 2, 3, 6, 73, 146, 181, 219, 362, 438, 543, 1086, 13213, 26426, 39639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79266 and 79278. The biggest common factor number is the GCF number.
So the greatest common factor 79266 and 79278 is 6.

Also check out the Least Common Multiple of 79266 and 79278