What is the Greatest Common Factor of 65574 and 65584?

Greatest common factor (GCF) of 65574 and 65584 is 2.

GCF(65574,65584) = 2

We will now calculate the prime factors of 65574 and 65584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65574 and 65584.

How to find the GCF of 65574 and 65584?

We will first find the prime factorization of 65574 and 65584. After we will calculate the factors of 65574 and 65584 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 65584

Prime factors of 65584 are 2, 4099. Prime factorization of 65584 in exponential form is:

65584 = 2⁴ × 4099¹

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 65584

List of positive integer factors of 65584 that divides 65574 without a remainder.

1, 2, 4, 8, 16, 4099, 8198, 16396, 32792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65574 and 65584. The biggest common factor number is the GCF number.
So the greatest common factor 65574 and 65584 is 2.

Also check out the Least Common Multiple of 65574 and 65584