What is the Greatest Common Factor of 64546 and 64566?

Greatest common factor (GCF) of 64546 and 64566 is 2.

GCF(64546,64566) = 2

We will now calculate the prime factors of 64546 and 64566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64546 and 64566.

How to find the GCF of 64546 and 64566?

We will first find the prime factorization of 64546 and 64566. After we will calculate the factors of 64546 and 64566 and find the biggest common factor number .

Step-1: Prime Factorization of 64546

Prime factors of 64546 are 2, 59, 547. Prime factorization of 64546 in exponential form is:

64546 = 2¹ × 59¹ × 547¹

Step-2: 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-3: Factors of 64546

List of positive integer factors of 64546 that divides 64546 without a remainder.

1, 2, 59, 118, 547, 1094, 32273

Step-4: Factors of 64566

List of positive integer factors of 64566 that divides 64546 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64546 and 64566. The biggest common factor number is the GCF number.
So the greatest common factor 64546 and 64566 is 2.

Also check out the Least Common Multiple of 64546 and 64566