What is the Greatest Common Factor of 7020 and 7033?

Greatest common factor (GCF) of 7020 and 7033 is 13.

GCF(7020,7033) = 13

We will now calculate the prime factors of 7020 and 7033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7020 and 7033.

How to find the GCF of 7020 and 7033?

We will first find the prime factorization of 7020 and 7033. After we will calculate the factors of 7020 and 7033 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 7033

Prime factors of 7033 are 13, 541. Prime factorization of 7033 in exponential form is:

7033 = 13¹ × 541¹

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 7033

List of positive integer factors of 7033 that divides 7020 without a remainder.

1, 13, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7020 and 7033. The biggest common factor number is the GCF number.
So the greatest common factor 7020 and 7033 is 13.

Also check out the Least Common Multiple of 7020 and 7033