What is the Greatest Common Factor of 64494 and 64507?

Greatest common factor (GCF) of 64494 and 64507 is 1.

GCF(64494,64507) = 1

We will now calculate the prime factors of 64494 and 64507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64494 and 64507.

How to find the GCF of 64494 and 64507?

We will first find the prime factorization of 64494 and 64507. After we will calculate the factors of 64494 and 64507 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 64507

Prime factors of 64507 are 251, 257. Prime factorization of 64507 in exponential form is:

64507 = 251¹ × 257¹

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 64507

List of positive integer factors of 64507 that divides 64494 without a remainder.

1, 251, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64494 and 64507. The biggest common factor number is the GCF number.
So the greatest common factor 64494 and 64507 is 1.

Also check out the Least Common Multiple of 64494 and 64507