What is the Greatest Common Factor of 79280 and 79295?

Greatest common factor (GCF) of 79280 and 79295 is 5.

GCF(79280,79295) = 5

We will now calculate the prime factors of 79280 and 79295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79280 and 79295.

How to find the GCF of 79280 and 79295?

We will first find the prime factorization of 79280 and 79295. After we will calculate the factors of 79280 and 79295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79295

Prime factors of 79295 are 5, 15859. Prime factorization of 79295 in exponential form is:

79295 = 5¹ × 15859¹

Step-3: Factors of 79280

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

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

Step-4: Factors of 79295

List of positive integer factors of 79295 that divides 79280 without a remainder.

1, 5, 15859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79280 and 79295. The biggest common factor number is the GCF number.
So the greatest common factor 79280 and 79295 is 5.

Also check out the Least Common Multiple of 79280 and 79295