What is the Greatest Common Factor of 27836 and 27840?

Greatest common factor (GCF) of 27836 and 27840 is 4.

GCF(27836,27840) = 4

We will now calculate the prime factors of 27836 and 27840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27836 and 27840.

How to find the GCF of 27836 and 27840?

We will first find the prime factorization of 27836 and 27840. After we will calculate the factors of 27836 and 27840 and find the biggest common factor number .

Step-1: Prime Factorization of 27836

Prime factors of 27836 are 2, 6959. Prime factorization of 27836 in exponential form is:

27836 = 2² × 6959¹

Step-2: Prime Factorization of 27840

Prime factors of 27840 are 2, 3, 5, 29. Prime factorization of 27840 in exponential form is:

27840 = 2⁶ × 3¹ × 5¹ × 29¹

Step-3: Factors of 27836

List of positive integer factors of 27836 that divides 27836 without a remainder.

1, 2, 4, 6959, 13918

Step-4: Factors of 27840

List of positive integer factors of 27840 that divides 27836 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 32, 40, 48, 58, 60, 64, 80, 87, 96, 116, 120, 145, 160, 174, 192, 232, 240, 290, 320, 348, 435, 464, 480, 580, 696, 870, 928, 960, 1160, 1392, 1740, 1856, 2320, 2784, 3480, 4640, 5568, 6960, 9280, 13920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27836 and 27840. The biggest common factor number is the GCF number.
So the greatest common factor 27836 and 27840 is 4.

Also check out the Least Common Multiple of 27836 and 27840