What is the Greatest Common Factor of 8460 and 8480?

Greatest common factor (GCF) of 8460 and 8480 is 20.

GCF(8460,8480) = 20

We will now calculate the prime factors of 8460 and 8480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8460 and 8480.

How to find the GCF of 8460 and 8480?

We will first find the prime factorization of 8460 and 8480. After we will calculate the factors of 8460 and 8480 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 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 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 8480

List of positive integer factors of 8480 that divides 8460 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 8460 and 8480. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8480 is 20.

Also check out the Least Common Multiple of 8460 and 8480