What is the Greatest Common Factor of 7005 and 7020?

Greatest common factor (GCF) of 7005 and 7020 is 15.

GCF(7005,7020) = 15

We will now calculate the prime factors of 7005 and 7020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7005 and 7020.

How to find the GCF of 7005 and 7020?

We will first find the prime factorization of 7005 and 7020. After we will calculate the factors of 7005 and 7020 and find the biggest common factor number .

Step-1: Prime Factorization of 7005

Prime factors of 7005 are 3, 5, 467. Prime factorization of 7005 in exponential form is:

7005 = 3¹ × 5¹ × 467¹

Step-2: Prime Factorization of 7020

Prime factors of 7020 are 2, 3, 5, 13. Prime factorization of 7020 in exponential form is:

7020 = 2² × 3³ × 5¹ × 13¹

Step-3: Factors of 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1, 3, 5, 15, 467, 1401, 2335

Step-4: Factors of 7020

List of positive integer factors of 7020 that divides 7005 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7005 and 7020. The biggest common factor number is the GCF number.
So the greatest common factor 7005 and 7020 is 15.

Also check out the Least Common Multiple of 7005 and 7020