What is the Greatest Common Factor of 64476 and 64494?

Greatest common factor (GCF) of 64476 and 64494 is 18.

GCF(64476,64494) = 18

We will now calculate the prime factors of 64476 and 64494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64476 and 64494.

How to find the GCF of 64476 and 64494?

We will first find the prime factorization of 64476 and 64494. After we will calculate the factors of 64476 and 64494 and find the biggest common factor number .

Step-1: Prime Factorization of 64476

Prime factors of 64476 are 2, 3, 199. Prime factorization of 64476 in exponential form is:

64476 = 2² × 3⁴ × 199¹

Step-2: Prime Factorization of 64494

Prime factors of 64494 are 2, 3, 3583. Prime factorization of 64494 in exponential form is:

64494 = 2¹ × 3² × 3583¹

Step-3: Factors of 64476

List of positive integer factors of 64476 that divides 64476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 199, 324, 398, 597, 796, 1194, 1791, 2388, 3582, 5373, 7164, 10746, 16119, 21492, 32238

Step-4: Factors of 64494

List of positive integer factors of 64494 that divides 64476 without a remainder.

1, 2, 3, 6, 9, 18, 3583, 7166, 10749, 21498, 32247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64476 and 64494. The biggest common factor number is the GCF number.
So the greatest common factor 64476 and 64494 is 18.

Also check out the Least Common Multiple of 64476 and 64494