What is the Greatest Common Factor of 55803 and 55814?

Greatest common factor (GCF) of 55803 and 55814 is 11.

GCF(55803,55814) = 11

We will now calculate the prime factors of 55803 and 55814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55803 and 55814.

How to find the GCF of 55803 and 55814?

We will first find the prime factorization of 55803 and 55814. After we will calculate the factors of 55803 and 55814 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 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 2¹ × 11¹ × 43¹ × 59¹

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 55814

List of positive integer factors of 55814 that divides 55803 without a remainder.

1, 2, 11, 22, 43, 59, 86, 118, 473, 649, 946, 1298, 2537, 5074, 27907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55803 and 55814. The biggest common factor number is the GCF number.
So the greatest common factor 55803 and 55814 is 11.

Also check out the Least Common Multiple of 55803 and 55814