What is the Greatest Common Factor of 8460 and 8465?

Greatest common factor (GCF) of 8460 and 8465 is 5.

GCF(8460,8465) = 5

We will now calculate the prime factors of 8460 and 8465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8460 and 8465.

How to find the GCF of 8460 and 8465?

We will first find the prime factorization of 8460 and 8465. After we will calculate the factors of 8460 and 8465 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 8465

Prime factors of 8465 are 5, 1693. Prime factorization of 8465 in exponential form is:

8465 = 5¹ × 1693¹

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 8465

List of positive integer factors of 8465 that divides 8460 without a remainder.

1, 5, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8460 and 8465. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8465 is 5.

Also check out the Least Common Multiple of 8460 and 8465