What is the Greatest Common Factor of 6557 and 6570?

Greatest common factor (GCF) of 6557 and 6570 is 1.

GCF(6557,6570) = 1

We will now calculate the prime factors of 6557 and 6570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6557 and 6570.

How to find the GCF of 6557 and 6570?

We will first find the prime factorization of 6557 and 6570. After we will calculate the factors of 6557 and 6570 and find the biggest common factor number .

Step-1: Prime Factorization of 6557

Prime factors of 6557 are 79, 83. Prime factorization of 6557 in exponential form is:

6557 = 79¹ × 83¹

Step-2: 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-3: Factors of 6557

List of positive integer factors of 6557 that divides 6557 without a remainder.

1, 79, 83

Step-4: Factors of 6570

List of positive integer factors of 6570 that divides 6557 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6557 and 6570. The biggest common factor number is the GCF number.
So the greatest common factor 6557 and 6570 is 1.

Also check out the Least Common Multiple of 6557 and 6570