What is the Greatest Common Factor of 8472 and 8490?

Greatest common factor (GCF) of 8472 and 8490 is 6.

GCF(8472,8490) = 6

We will now calculate the prime factors of 8472 and 8490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8472 and 8490.

How to find the GCF of 8472 and 8490?

We will first find the prime factorization of 8472 and 8490. After we will calculate the factors of 8472 and 8490 and find the biggest common factor number .

Step-1: Prime Factorization of 8472

Prime factors of 8472 are 2, 3, 353. Prime factorization of 8472 in exponential form is:

8472 = 2³ × 3¹ × 353¹

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 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236

Step-4: Factors of 8490

List of positive integer factors of 8490 that divides 8472 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 8472 and 8490. The biggest common factor number is the GCF number.
So the greatest common factor 8472 and 8490 is 6.

Also check out the Least Common Multiple of 8472 and 8490