What is the Greatest Common Factor of 64566 and 64583?

Greatest common factor (GCF) of 64566 and 64583 is 17.

GCF(64566,64583) = 17

We will now calculate the prime factors of 64566 and 64583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64566 and 64583.

How to find the GCF of 64566 and 64583?

We will first find the prime factorization of 64566 and 64583. After we will calculate the factors of 64566 and 64583 and find the biggest common factor number .

Step-1: Prime Factorization of 64566

Prime factors of 64566 are 2, 3, 17, 211. Prime factorization of 64566 in exponential form is:

64566 = 2¹ × 3² × 17¹ × 211¹

Step-2: Prime Factorization of 64583

Prime factors of 64583 are 17, 29, 131. Prime factorization of 64583 in exponential form is:

64583 = 17¹ × 29¹ × 131¹

Step-3: Factors of 64566

List of positive integer factors of 64566 that divides 64566 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 211, 306, 422, 633, 1266, 1899, 3587, 3798, 7174, 10761, 21522, 32283

Step-4: Factors of 64583

List of positive integer factors of 64583 that divides 64566 without a remainder.

1, 17, 29, 131, 493, 2227, 3799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64566 and 64583. The biggest common factor number is the GCF number.
So the greatest common factor 64566 and 64583 is 17.

Also check out the Least Common Multiple of 64566 and 64583