What is the Greatest Common Factor of 79005 and 79010?

Greatest common factor (GCF) of 79005 and 79010 is 5.

GCF(79005,79010) = 5

We will now calculate the prime factors of 79005 and 79010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79005 and 79010.

How to find the GCF of 79005 and 79010?

We will first find the prime factorization of 79005 and 79010. After we will calculate the factors of 79005 and 79010 and find the biggest common factor number .

Step-1: Prime Factorization of 79005

Prime factors of 79005 are 3, 5, 23, 229. Prime factorization of 79005 in exponential form is:

79005 = 3¹ × 5¹ × 23¹ × 229¹

Step-2: Prime Factorization of 79010

Prime factors of 79010 are 2, 5, 7901. Prime factorization of 79010 in exponential form is:

79010 = 2¹ × 5¹ × 7901¹

Step-3: Factors of 79005

List of positive integer factors of 79005 that divides 79005 without a remainder.

1, 3, 5, 15, 23, 69, 115, 229, 345, 687, 1145, 3435, 5267, 15801, 26335

Step-4: Factors of 79010

List of positive integer factors of 79010 that divides 79005 without a remainder.

1, 2, 5, 10, 7901, 15802, 39505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79005 and 79010. The biggest common factor number is the GCF number.
So the greatest common factor 79005 and 79010 is 5.

Also check out the Least Common Multiple of 79005 and 79010