What is the Greatest Common Factor of 55824 and 55844?

Greatest common factor (GCF) of 55824 and 55844 is 4.

GCF(55824,55844) = 4

We will now calculate the prime factors of 55824 and 55844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55824 and 55844.

How to find the GCF of 55824 and 55844?

We will first find the prime factorization of 55824 and 55844. After we will calculate the factors of 55824 and 55844 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 55844

Prime factors of 55844 are 2, 23, 607. Prime factorization of 55844 in exponential form is:

55844 = 2² × 23¹ × 607¹

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 55844

List of positive integer factors of 55844 that divides 55824 without a remainder.

1, 2, 4, 23, 46, 92, 607, 1214, 2428, 13961, 27922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55824 and 55844. The biggest common factor number is the GCF number.
So the greatest common factor 55824 and 55844 is 4.

Also check out the Least Common Multiple of 55824 and 55844