What is the Greatest Common Factor of 64491 and 64503?

Greatest common factor (GCF) of 64491 and 64503 is 3.

GCF(64491,64503) = 3

We will now calculate the prime factors of 64491 and 64503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64491 and 64503.

How to find the GCF of 64491 and 64503?

We will first find the prime factorization of 64491 and 64503. After we will calculate the factors of 64491 and 64503 and find the biggest common factor number .

Step-1: Prime Factorization of 64491

Prime factors of 64491 are 3, 7, 37, 83. Prime factorization of 64491 in exponential form is:

64491 = 3¹ × 7¹ × 37¹ × 83¹

Step-2: Prime Factorization of 64503

Prime factors of 64503 are 3, 2389. Prime factorization of 64503 in exponential form is:

64503 = 3³ × 2389¹

Step-3: Factors of 64491

List of positive integer factors of 64491 that divides 64491 without a remainder.

1, 3, 7, 21, 37, 83, 111, 249, 259, 581, 777, 1743, 3071, 9213, 21497

Step-4: Factors of 64503

List of positive integer factors of 64503 that divides 64491 without a remainder.

1, 3, 9, 27, 2389, 7167, 21501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64491 and 64503. The biggest common factor number is the GCF number.
So the greatest common factor 64491 and 64503 is 3.

Also check out the Least Common Multiple of 64491 and 64503