What is the Greatest Common Factor of 64509 and 64514?

Greatest common factor (GCF) of 64509 and 64514 is 1.

GCF(64509,64514) = 1

We will now calculate the prime factors of 64509 and 64514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64509 and 64514.

How to find the GCF of 64509 and 64514?

We will first find the prime factorization of 64509 and 64514. After we will calculate the factors of 64509 and 64514 and find the biggest common factor number .

Step-1: Prime Factorization of 64509

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

64509 = 3¹ × 21503¹

Step-2: Prime Factorization of 64514

Prime factors of 64514 are 2, 32257. Prime factorization of 64514 in exponential form is:

64514 = 2¹ × 32257¹

Step-3: Factors of 64509

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

1, 3, 21503

Step-4: Factors of 64514

List of positive integer factors of 64514 that divides 64509 without a remainder.

1, 2, 32257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64509 and 64514. The biggest common factor number is the GCF number.
So the greatest common factor 64509 and 64514 is 1.

Also check out the Least Common Multiple of 64509 and 64514