What is the Greatest Common Factor of 79268 and 79284?

Greatest common factor (GCF) of 79268 and 79284 is 4.

GCF(79268,79284) = 4

We will now calculate the prime factors of 79268 and 79284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79268 and 79284.

How to find the GCF of 79268 and 79284?

We will first find the prime factorization of 79268 and 79284. After we will calculate the factors of 79268 and 79284 and find the biggest common factor number .

Step-1: Prime Factorization of 79268

Prime factors of 79268 are 2, 7, 19, 149. Prime factorization of 79268 in exponential form is:

79268 = 2² × 7¹ × 19¹ × 149¹

Step-2: Prime Factorization of 79284

Prime factors of 79284 are 2, 3, 6607. Prime factorization of 79284 in exponential form is:

79284 = 2² × 3¹ × 6607¹

Step-3: Factors of 79268

List of positive integer factors of 79268 that divides 79268 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 149, 266, 298, 532, 596, 1043, 2086, 2831, 4172, 5662, 11324, 19817, 39634

Step-4: Factors of 79284

List of positive integer factors of 79284 that divides 79268 without a remainder.

1, 2, 3, 4, 6, 12, 6607, 13214, 19821, 26428, 39642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79268 and 79284. The biggest common factor number is the GCF number.
So the greatest common factor 79268 and 79284 is 4.

Also check out the Least Common Multiple of 79268 and 79284