What is the Greatest Common Factor of 8460 and 8476?

Greatest common factor (GCF) of 8460 and 8476 is 4.

GCF(8460,8476) = 4

We will now calculate the prime factors of 8460 and 8476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8460 and 8476.

How to find the GCF of 8460 and 8476?

We will first find the prime factorization of 8460 and 8476. After we will calculate the factors of 8460 and 8476 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 8476

Prime factors of 8476 are 2, 13, 163. Prime factorization of 8476 in exponential form is:

8476 = 2² × 13¹ × 163¹

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 8476

List of positive integer factors of 8476 that divides 8460 without a remainder.

1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8460 and 8476. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8476 is 4.

Also check out the Least Common Multiple of 8460 and 8476