What is the Greatest Common Factor of 79280 and 79290?

Greatest common factor (GCF) of 79280 and 79290 is 10.

GCF(79280,79290) = 10

We will now calculate the prime factors of 79280 and 79290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79280 and 79290.

How to find the GCF of 79280 and 79290?

We will first find the prime factorization of 79280 and 79290. After we will calculate the factors of 79280 and 79290 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 79290

Prime factors of 79290 are 2, 3, 5, 881. Prime factorization of 79290 in exponential form is:

79290 = 2¹ × 3² × 5¹ × 881¹

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 79290

List of positive integer factors of 79290 that divides 79280 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 881, 1762, 2643, 4405, 5286, 7929, 8810, 13215, 15858, 26430, 39645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79280 and 79290. The biggest common factor number is the GCF number.
So the greatest common factor 79280 and 79290 is 10.

Also check out the Least Common Multiple of 79280 and 79290