What is the Greatest Common Factor of 6464 and 6482?

Greatest common factor (GCF) of 6464 and 6482 is 2.

GCF(6464,6482) = 2

We will now calculate the prime factors of 6464 and 6482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6464 and 6482.

How to find the GCF of 6464 and 6482?

We will first find the prime factorization of 6464 and 6482. After we will calculate the factors of 6464 and 6482 and find the biggest common factor number .

Step-1: Prime Factorization of 6464

Prime factors of 6464 are 2, 101. Prime factorization of 6464 in exponential form is:

6464 = 2⁶ × 101¹

Step-2: Prime Factorization of 6482

Prime factors of 6482 are 2, 7, 463. Prime factorization of 6482 in exponential form is:

6482 = 2¹ × 7¹ × 463¹

Step-3: Factors of 6464

List of positive integer factors of 6464 that divides 6464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232

Step-4: Factors of 6482

List of positive integer factors of 6482 that divides 6464 without a remainder.

1, 2, 7, 14, 463, 926, 3241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6464 and 6482. The biggest common factor number is the GCF number.
So the greatest common factor 6464 and 6482 is 2.

Also check out the Least Common Multiple of 6464 and 6482