What is the Greatest Common Factor of 18825 and 18830?

Greatest common factor (GCF) of 18825 and 18830 is 5.

GCF(18825,18830) = 5

We will now calculate the prime factors of 18825 and 18830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18825 and 18830.

How to find the GCF of 18825 and 18830?

We will first find the prime factorization of 18825 and 18830. After we will calculate the factors of 18825 and 18830 and find the biggest common factor number .

Step-1: Prime Factorization of 18825

Prime factors of 18825 are 3, 5, 251. Prime factorization of 18825 in exponential form is:

18825 = 3¹ × 5² × 251¹

Step-2: Prime Factorization of 18830

Prime factors of 18830 are 2, 5, 7, 269. Prime factorization of 18830 in exponential form is:

18830 = 2¹ × 5¹ × 7¹ × 269¹

Step-3: Factors of 18825

List of positive integer factors of 18825 that divides 18825 without a remainder.

1, 3, 5, 15, 25, 75, 251, 753, 1255, 3765, 6275

Step-4: Factors of 18830

List of positive integer factors of 18830 that divides 18825 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 269, 538, 1345, 1883, 2690, 3766, 9415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18825 and 18830. The biggest common factor number is the GCF number.
So the greatest common factor 18825 and 18830 is 5.

Also check out the Least Common Multiple of 18825 and 18830