What is the Greatest Common Factor of 18460 and 18470?

Greatest common factor (GCF) of 18460 and 18470 is 10.

GCF(18460,18470) = 10

We will now calculate the prime factors of 18460 and 18470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18460 and 18470.

How to find the GCF of 18460 and 18470?

We will first find the prime factorization of 18460 and 18470. After we will calculate the factors of 18460 and 18470 and find the biggest common factor number .

Step-1: Prime Factorization of 18460

Prime factors of 18460 are 2, 5, 13, 71. Prime factorization of 18460 in exponential form is:

18460 = 2² × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 18470

Prime factors of 18470 are 2, 5, 1847. Prime factorization of 18470 in exponential form is:

18470 = 2¹ × 5¹ × 1847¹

Step-3: Factors of 18460

List of positive integer factors of 18460 that divides 18460 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 71, 130, 142, 260, 284, 355, 710, 923, 1420, 1846, 3692, 4615, 9230

Step-4: Factors of 18470

List of positive integer factors of 18470 that divides 18460 without a remainder.

1, 2, 5, 10, 1847, 3694, 9235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18460 and 18470. The biggest common factor number is the GCF number.
So the greatest common factor 18460 and 18470 is 10.

Also check out the Least Common Multiple of 18460 and 18470