What is the Greatest Common Factor of 64481 and 64498?

Greatest common factor (GCF) of 64481 and 64498 is 17.

GCF(64481,64498) = 17

We will now calculate the prime factors of 64481 and 64498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64481 and 64498.

How to find the GCF of 64481 and 64498?

We will first find the prime factorization of 64481 and 64498. After we will calculate the factors of 64481 and 64498 and find the biggest common factor number .

Step-1: Prime Factorization of 64481

Prime factors of 64481 are 17, 3793. Prime factorization of 64481 in exponential form is:

64481 = 17¹ × 3793¹

Step-2: 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-3: Factors of 64481

List of positive integer factors of 64481 that divides 64481 without a remainder.

1, 17, 3793

Step-4: Factors of 64498

List of positive integer factors of 64498 that divides 64481 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64481 and 64498. The biggest common factor number is the GCF number.
So the greatest common factor 64481 and 64498 is 17.

Also check out the Least Common Multiple of 64481 and 64498