What is the Greatest Common Factor of 18825 and 18834?

Greatest common factor (GCF) of 18825 and 18834 is 3.

GCF(18825,18834) = 3

We will now calculate the prime factors of 18825 and 18834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18825 and 18834.

How to find the GCF of 18825 and 18834?

We will first find the prime factorization of 18825 and 18834. After we will calculate the factors of 18825 and 18834 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 18834

Prime factors of 18834 are 2, 3, 43, 73. Prime factorization of 18834 in exponential form is:

18834 = 2¹ × 3¹ × 43¹ × 73¹

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 18834

List of positive integer factors of 18834 that divides 18825 without a remainder.

1, 2, 3, 6, 43, 73, 86, 129, 146, 219, 258, 438, 3139, 6278, 9417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18825 and 18834. The biggest common factor number is the GCF number.
So the greatest common factor 18825 and 18834 is 3.

Also check out the Least Common Multiple of 18825 and 18834