What is the Greatest Common Factor of 64498 and 64509?

Greatest common factor (GCF) of 64498 and 64509 is 1.

GCF(64498,64509) = 1

We will now calculate the prime factors of 64498 and 64509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64498 and 64509.

How to find the GCF of 64498 and 64509?

We will first find the prime factorization of 64498 and 64509. After we will calculate the factors of 64498 and 64509 and find the biggest common factor number .

Step-1: Prime Factorization of 64498

Prime factors of 64498 are 2, 7, 17, 271. Prime factorization of 64498 in exponential form is:

64498 = 2¹ × 7¹ × 17¹ × 271¹

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 64498

List of positive integer factors of 64498 that divides 64498 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 271, 542, 1897, 3794, 4607, 9214, 32249

Step-4: Factors of 64509

List of positive integer factors of 64509 that divides 64498 without a remainder.

1, 3, 21503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64498 and 64509. The biggest common factor number is the GCF number.
So the greatest common factor 64498 and 64509 is 1.

Also check out the Least Common Multiple of 64498 and 64509