What is the Greatest Common Factor of 64566 and 64574?

Greatest common factor (GCF) of 64566 and 64574 is 2.

GCF(64566,64574) = 2

We will now calculate the prime factors of 64566 and 64574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64566 and 64574.

How to find the GCF of 64566 and 64574?

We will first find the prime factorization of 64566 and 64574. After we will calculate the factors of 64566 and 64574 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 64574

Prime factors of 64574 are 2, 83, 389. Prime factorization of 64574 in exponential form is:

64574 = 2¹ × 83¹ × 389¹

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 64574

List of positive integer factors of 64574 that divides 64566 without a remainder.

1, 2, 83, 166, 389, 778, 32287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64566 and 64574. The biggest common factor number is the GCF number.
So the greatest common factor 64566 and 64574 is 2.

Also check out the Least Common Multiple of 64566 and 64574