What is the Greatest Common Factor of 6574 and 6580?

Greatest common factor (GCF) of 6574 and 6580 is 2.

GCF(6574,6580) = 2

We will now calculate the prime factors of 6574 and 6580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6574 and 6580.

How to find the GCF of 6574 and 6580?

We will first find the prime factorization of 6574 and 6580. After we will calculate the factors of 6574 and 6580 and find the biggest common factor number .

Step-1: Prime Factorization of 6574

Prime factors of 6574 are 2, 19, 173. Prime factorization of 6574 in exponential form is:

6574 = 2¹ × 19¹ × 173¹

Step-2: Prime Factorization of 6580

Prime factors of 6580 are 2, 5, 7, 47. Prime factorization of 6580 in exponential form is:

6580 = 2² × 5¹ × 7¹ × 47¹

Step-3: Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1, 2, 19, 38, 173, 346, 3287

Step-4: Factors of 6580

List of positive integer factors of 6580 that divides 6574 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6574 and 6580. The biggest common factor number is the GCF number.
So the greatest common factor 6574 and 6580 is 2.

Also check out the Least Common Multiple of 6574 and 6580