What is the Greatest Common Factor of 6570 and 6588?

Greatest common factor (GCF) of 6570 and 6588 is 18.

GCF(6570,6588) = 18

We will now calculate the prime factors of 6570 and 6588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6570 and 6588.

How to find the GCF of 6570 and 6588?

We will first find the prime factorization of 6570 and 6588. After we will calculate the factors of 6570 and 6588 and find the biggest common factor number .

Step-1: Prime Factorization of 6570

Prime factors of 6570 are 2, 3, 5, 73. Prime factorization of 6570 in exponential form is:

6570 = 2¹ × 3² × 5¹ × 73¹

Step-2: Prime Factorization of 6588

Prime factors of 6588 are 2, 3, 61. Prime factorization of 6588 in exponential form is:

6588 = 2² × 3³ × 61¹

Step-3: Factors of 6570

List of positive integer factors of 6570 that divides 6570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285

Step-4: Factors of 6588

List of positive integer factors of 6588 that divides 6570 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 108, 122, 183, 244, 366, 549, 732, 1098, 1647, 2196, 3294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6570 and 6588. The biggest common factor number is the GCF number.
So the greatest common factor 6570 and 6588 is 18.

Also check out the Least Common Multiple of 6570 and 6588