What is the Greatest Common Factor of 8464 and 8480?

Greatest common factor (GCF) of 8464 and 8480 is 16.

GCF(8464,8480) = 16

We will now calculate the prime factors of 8464 and 8480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8464 and 8480.

How to find the GCF of 8464 and 8480?

We will first find the prime factorization of 8464 and 8480. After we will calculate the factors of 8464 and 8480 and find the biggest common factor number .

Step-1: Prime Factorization of 8464

Prime factors of 8464 are 2, 23. Prime factorization of 8464 in exponential form is:

8464 = 2⁴ × 23²

Step-2: Prime Factorization of 8480

Prime factors of 8480 are 2, 5, 53. Prime factorization of 8480 in exponential form is:

8480 = 2⁵ × 5¹ × 53¹

Step-3: Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232

Step-4: Factors of 8480

List of positive integer factors of 8480 that divides 8464 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8464 and 8480. The biggest common factor number is the GCF number.
So the greatest common factor 8464 and 8480 is 16.

Also check out the Least Common Multiple of 8464 and 8480