What is the Greatest Common Factor of 55803 and 55812?

Greatest common factor (GCF) of 55803 and 55812 is 3.

GCF(55803,55812) = 3

We will now calculate the prime factors of 55803 and 55812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55803 and 55812.

How to find the GCF of 55803 and 55812?

We will first find the prime factorization of 55803 and 55812. After we will calculate the factors of 55803 and 55812 and find the biggest common factor number .

Step-1: Prime Factorization of 55803

Prime factors of 55803 are 3, 11, 19, 89. Prime factorization of 55803 in exponential form is:

55803 = 3¹ × 11¹ × 19¹ × 89¹

Step-2: Prime Factorization of 55812

Prime factors of 55812 are 2, 3, 4651. Prime factorization of 55812 in exponential form is:

55812 = 2² × 3¹ × 4651¹

Step-3: Factors of 55803

List of positive integer factors of 55803 that divides 55803 without a remainder.

1, 3, 11, 19, 33, 57, 89, 209, 267, 627, 979, 1691, 2937, 5073, 18601

Step-4: Factors of 55812

List of positive integer factors of 55812 that divides 55803 without a remainder.

1, 2, 3, 4, 6, 12, 4651, 9302, 13953, 18604, 27906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55803 and 55812. The biggest common factor number is the GCF number.
So the greatest common factor 55803 and 55812 is 3.

Also check out the Least Common Multiple of 55803 and 55812