What is the Greatest Common Factor of 7010 and 7020?

Greatest common factor (GCF) of 7010 and 7020 is 10.

GCF(7010,7020) = 10

We will now calculate the prime factors of 7010 and 7020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7010 and 7020.

How to find the GCF of 7010 and 7020?

We will first find the prime factorization of 7010 and 7020. After we will calculate the factors of 7010 and 7020 and find the biggest common factor number .

Step-1: Prime Factorization of 7010

Prime factors of 7010 are 2, 5, 701. Prime factorization of 7010 in exponential form is:

7010 = 2¹ × 5¹ × 701¹

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 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1, 2, 5, 10, 701, 1402, 3505

Step-4: Factors of 7020

List of positive integer factors of 7020 that divides 7010 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 7010 and 7020. The biggest common factor number is the GCF number.
So the greatest common factor 7010 and 7020 is 10.

Also check out the Least Common Multiple of 7010 and 7020