What is the Greatest Common Factor of 8460 and 8469?

Greatest common factor (GCF) of 8460 and 8469 is 9.

GCF(8460,8469) = 9

We will now calculate the prime factors of 8460 and 8469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8460 and 8469.

How to find the GCF of 8460 and 8469?

We will first find the prime factorization of 8460 and 8469. After we will calculate the factors of 8460 and 8469 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 8469

Prime factors of 8469 are 3, 941. Prime factorization of 8469 in exponential form is:

8469 = 3² × 941¹

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 8469

List of positive integer factors of 8469 that divides 8460 without a remainder.

1, 3, 9, 941, 2823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8460 and 8469. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8469 is 9.

Also check out the Least Common Multiple of 8460 and 8469