What is the Greatest Common Factor of 8460 and 8464?

Greatest common factor (GCF) of 8460 and 8464 is 4.

GCF(8460,8464) = 4

We will now calculate the prime factors of 8460 and 8464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8460 and 8464.

How to find the GCF of 8460 and 8464?

We will first find the prime factorization of 8460 and 8464. After we will calculate the factors of 8460 and 8464 and find the biggest common factor number .

Step-1: Prime Factorization of 8460

Prime factors of 8460 are 2, 3, 5, 47. Prime factorization of 8460 in exponential form is:

8460 = 2² × 3² × 5¹ × 47¹

Step-2: Prime Factorization of 8464

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

8464 = 2⁴ × 23²

Step-3: Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230

Step-4: Factors of 8464

List of positive integer factors of 8464 that divides 8460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8460 and 8464. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8464 is 4.

Also check out the Least Common Multiple of 8460 and 8464