What is the Greatest Common Factor of 65574 and 65580?

Greatest common factor (GCF) of 65574 and 65580 is 6.

GCF(65574,65580) = 6

We will now calculate the prime factors of 65574 and 65580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65574 and 65580.

How to find the GCF of 65574 and 65580?

We will first find the prime factorization of 65574 and 65580. After we will calculate the factors of 65574 and 65580 and find the biggest common factor number .

Step-1: Prime Factorization of 65574

Prime factors of 65574 are 2, 3, 3643. Prime factorization of 65574 in exponential form is:

65574 = 2¹ × 3² × 3643¹

Step-2: Prime Factorization of 65580

Prime factors of 65580 are 2, 3, 5, 1093. Prime factorization of 65580 in exponential form is:

65580 = 2² × 3¹ × 5¹ × 1093¹

Step-3: Factors of 65574

List of positive integer factors of 65574 that divides 65574 without a remainder.

1, 2, 3, 6, 9, 18, 3643, 7286, 10929, 21858, 32787

Step-4: Factors of 65580

List of positive integer factors of 65580 that divides 65574 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1093, 2186, 3279, 4372, 5465, 6558, 10930, 13116, 16395, 21860, 32790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65574 and 65580. The biggest common factor number is the GCF number.
So the greatest common factor 65574 and 65580 is 6.

Also check out the Least Common Multiple of 65574 and 65580