What is the Greatest Common Factor of 18460 and 18475?

Greatest common factor (GCF) of 18460 and 18475 is 5.

GCF(18460,18475) = 5

We will now calculate the prime factors of 18460 and 18475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18460 and 18475.

How to find the GCF of 18460 and 18475?

We will first find the prime factorization of 18460 and 18475. After we will calculate the factors of 18460 and 18475 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 18475

Prime factors of 18475 are 5, 739. Prime factorization of 18475 in exponential form is:

18475 = 5² × 739¹

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 18475

List of positive integer factors of 18475 that divides 18460 without a remainder.

1, 5, 25, 739, 3695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18460 and 18475. The biggest common factor number is the GCF number.
So the greatest common factor 18460 and 18475 is 5.

Also check out the Least Common Multiple of 18460 and 18475