What is the Greatest Common Factor of 18836 and 18840?

Greatest common factor (GCF) of 18836 and 18840 is 4.

GCF(18836,18840) = 4

We will now calculate the prime factors of 18836 and 18840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18836 and 18840.

How to find the GCF of 18836 and 18840?

We will first find the prime factorization of 18836 and 18840. After we will calculate the factors of 18836 and 18840 and find the biggest common factor number .

Step-1: Prime Factorization of 18836

Prime factors of 18836 are 2, 17, 277. Prime factorization of 18836 in exponential form is:

18836 = 2² × 17¹ × 277¹

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 18836

List of positive integer factors of 18836 that divides 18836 without a remainder.

1, 2, 4, 17, 34, 68, 277, 554, 1108, 4709, 9418

Step-4: Factors of 18840

List of positive integer factors of 18840 that divides 18836 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 18836 and 18840. The biggest common factor number is the GCF number.
So the greatest common factor 18836 and 18840 is 4.

Also check out the Least Common Multiple of 18836 and 18840