What is the Greatest Common Factor of 55824 and 55840?

Greatest common factor (GCF) of 55824 and 55840 is 16.

GCF(55824,55840) = 16

We will now calculate the prime factors of 55824 and 55840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55824 and 55840.

How to find the GCF of 55824 and 55840?

We will first find the prime factorization of 55824 and 55840. After we will calculate the factors of 55824 and 55840 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 55840

Prime factors of 55840 are 2, 5, 349. Prime factorization of 55840 in exponential form is:

55840 = 2⁵ × 5¹ × 349¹

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 55840

List of positive integer factors of 55840 that divides 55824 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 349, 698, 1396, 1745, 2792, 3490, 5584, 6980, 11168, 13960, 27920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55824 and 55840. The biggest common factor number is the GCF number.
So the greatest common factor 55824 and 55840 is 16.

Also check out the Least Common Multiple of 55824 and 55840