What is the Greatest Common Factor of 18834 and 18840?

Greatest common factor (GCF) of 18834 and 18840 is 6.

GCF(18834,18840) = 6

We will now calculate the prime factors of 18834 and 18840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18834 and 18840.

How to find the GCF of 18834 and 18840?

We will first find the prime factorization of 18834 and 18840. After we will calculate the factors of 18834 and 18840 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18840

Prime factors of 18840 are 2, 3, 5, 157. Prime factorization of 18840 in exponential form is:

18840 = 2³ × 3¹ × 5¹ × 157¹

Step-3: Factors of 18834

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

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

Step-4: Factors of 18840

List of positive integer factors of 18840 that divides 18834 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 157, 314, 471, 628, 785, 942, 1256, 1570, 1884, 2355, 3140, 3768, 4710, 6280, 9420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18834 and 18840. The biggest common factor number is the GCF number.
So the greatest common factor 18834 and 18840 is 6.

Also check out the Least Common Multiple of 18834 and 18840