What is the Greatest Common Factor of 55824 and 55842?

Greatest common factor (GCF) of 55824 and 55842 is 6.

GCF(55824,55842) = 6

We will now calculate the prime factors of 55824 and 55842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55824 and 55842.

How to find the GCF of 55824 and 55842?

We will first find the prime factorization of 55824 and 55842. After we will calculate the factors of 55824 and 55842 and find the biggest common factor number .

Step-1: Prime Factorization of 55824

Prime factors of 55824 are 2, 3, 1163. Prime factorization of 55824 in exponential form is:

55824 = 2⁴ × 3¹ × 1163¹

Step-2: Prime Factorization of 55842

Prime factors of 55842 are 2, 3, 41, 227. Prime factorization of 55842 in exponential form is:

55842 = 2¹ × 3¹ × 41¹ × 227¹

Step-3: Factors of 55824

List of positive integer factors of 55824 that divides 55824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1163, 2326, 3489, 4652, 6978, 9304, 13956, 18608, 27912

Step-4: Factors of 55842

List of positive integer factors of 55842 that divides 55824 without a remainder.

1, 2, 3, 6, 41, 82, 123, 227, 246, 454, 681, 1362, 9307, 18614, 27921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55824 and 55842. The biggest common factor number is the GCF number.
So the greatest common factor 55824 and 55842 is 6.

Also check out the Least Common Multiple of 55824 and 55842