What is the Greatest Common Factor of 79268 and 79280?

Greatest common factor (GCF) of 79268 and 79280 is 4.

GCF(79268,79280) = 4

We will now calculate the prime factors of 79268 and 79280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79268 and 79280.

How to find the GCF of 79268 and 79280?

We will first find the prime factorization of 79268 and 79280. After we will calculate the factors of 79268 and 79280 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 79280

Prime factors of 79280 are 2, 5, 991. Prime factorization of 79280 in exponential form is:

79280 = 2⁴ × 5¹ × 991¹

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 79280

List of positive integer factors of 79280 that divides 79268 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 991, 1982, 3964, 4955, 7928, 9910, 15856, 19820, 39640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79268 and 79280. The biggest common factor number is the GCF number.
So the greatest common factor 79268 and 79280 is 4.

Also check out the Least Common Multiple of 79268 and 79280