What is the Greatest Common Factor of 64494 and 64509?

Greatest common factor (GCF) of 64494 and 64509 is 3.

GCF(64494,64509) = 3

We will now calculate the prime factors of 64494 and 64509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64494 and 64509.

How to find the GCF of 64494 and 64509?

We will first find the prime factorization of 64494 and 64509. After we will calculate the factors of 64494 and 64509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64509

Prime factors of 64509 are 3, 21503. Prime factorization of 64509 in exponential form is:

64509 = 3¹ × 21503¹

Step-3: Factors of 64494

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

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

Step-4: Factors of 64509

List of positive integer factors of 64509 that divides 64494 without a remainder.

1, 3, 21503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64494 and 64509. The biggest common factor number is the GCF number.
So the greatest common factor 64494 and 64509 is 3.

Also check out the Least Common Multiple of 64494 and 64509