What is the Greatest Common Factor of 67803 and 67821?

Greatest common factor (GCF) of 67803 and 67821 is 3.

GCF(67803,67821) = 3

We will now calculate the prime factors of 67803 and 67821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67803 and 67821.

How to find the GCF of 67803 and 67821?

We will first find the prime factorization of 67803 and 67821. After we will calculate the factors of 67803 and 67821 and find the biggest common factor number .

Step-1: Prime Factorization of 67803

Prime factors of 67803 are 3, 97, 233. Prime factorization of 67803 in exponential form is:

67803 = 3¹ × 97¹ × 233¹

Step-2: Prime Factorization of 67821

Prime factors of 67821 are 3, 13, 37, 47. Prime factorization of 67821 in exponential form is:

67821 = 3¹ × 13¹ × 37¹ × 47¹

Step-3: Factors of 67803

List of positive integer factors of 67803 that divides 67803 without a remainder.

1, 3, 97, 233, 291, 699, 22601

Step-4: Factors of 67821

List of positive integer factors of 67821 that divides 67803 without a remainder.

1, 3, 13, 37, 39, 47, 111, 141, 481, 611, 1443, 1739, 1833, 5217, 22607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67803 and 67821. The biggest common factor number is the GCF number.
So the greatest common factor 67803 and 67821 is 3.

Also check out the Least Common Multiple of 67803 and 67821