What is the Greatest Common Factor of 7020 and 7030?

Greatest common factor (GCF) of 7020 and 7030 is 10.

GCF(7020,7030) = 10

We will now calculate the prime factors of 7020 and 7030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7020 and 7030.

How to find the GCF of 7020 and 7030?

We will first find the prime factorization of 7020 and 7030. After we will calculate the factors of 7020 and 7030 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7030

Prime factors of 7030 are 2, 5, 19, 37. Prime factorization of 7030 in exponential form is:

7030 = 2¹ × 5¹ × 19¹ × 37¹

Step-3: Factors of 7020

List of positive integer factors of 7020 that divides 7020 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

Step-4: Factors of 7030

List of positive integer factors of 7030 that divides 7020 without a remainder.

1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7020 and 7030. The biggest common factor number is the GCF number.
So the greatest common factor 7020 and 7030 is 10.

Also check out the Least Common Multiple of 7020 and 7030