What is the Greatest Common Factor of 18828 and 18840?

Greatest common factor (GCF) of 18828 and 18840 is 12.

GCF(18828,18840) = 12

We will now calculate the prime factors of 18828 and 18840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18828 and 18840.

How to find the GCF of 18828 and 18840?

We will first find the prime factorization of 18828 and 18840. After we will calculate the factors of 18828 and 18840 and find the biggest common factor number .

Step-1: Prime Factorization of 18828

Prime factors of 18828 are 2, 3, 523. Prime factorization of 18828 in exponential form is:

18828 = 2² × 3² × 523¹

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 18828

List of positive integer factors of 18828 that divides 18828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 523, 1046, 1569, 2092, 3138, 4707, 6276, 9414

Step-4: Factors of 18840

List of positive integer factors of 18840 that divides 18828 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 18828 and 18840. The biggest common factor number is the GCF number.
So the greatest common factor 18828 and 18840 is 12.

Also check out the Least Common Multiple of 18828 and 18840