What is the Greatest Common Factor of 8480 and 8490?

Greatest common factor (GCF) of 8480 and 8490 is 10.

GCF(8480,8490) = 10

We will now calculate the prime factors of 8480 and 8490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8480 and 8490.

How to find the GCF of 8480 and 8490?

We will first find the prime factorization of 8480 and 8490. After we will calculate the factors of 8480 and 8490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8490

Prime factors of 8490 are 2, 3, 5, 283. Prime factorization of 8490 in exponential form is:

8490 = 2¹ × 3¹ × 5¹ × 283¹

Step-3: Factors of 8480

List of positive integer factors of 8480 that divides 8480 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

Step-4: Factors of 8490

List of positive integer factors of 8490 that divides 8480 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8480 and 8490. The biggest common factor number is the GCF number.
So the greatest common factor 8480 and 8490 is 10.

Also check out the Least Common Multiple of 8480 and 8490