What is the Greatest Common Factor of 55784 and 55803?

Greatest common factor (GCF) of 55784 and 55803 is 19.

GCF(55784,55803) = 19

We will now calculate the prime factors of 55784 and 55803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55784 and 55803.

How to find the GCF of 55784 and 55803?

We will first find the prime factorization of 55784 and 55803. After we will calculate the factors of 55784 and 55803 and find the biggest common factor number .

Step-1: Prime Factorization of 55784

Prime factors of 55784 are 2, 19, 367. Prime factorization of 55784 in exponential form is:

55784 = 2³ × 19¹ × 367¹

Step-2: 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-3: Factors of 55784

List of positive integer factors of 55784 that divides 55784 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 367, 734, 1468, 2936, 6973, 13946, 27892

Step-4: Factors of 55803

List of positive integer factors of 55803 that divides 55784 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55784 and 55803. The biggest common factor number is the GCF number.
So the greatest common factor 55784 and 55803 is 19.

Also check out the Least Common Multiple of 55784 and 55803