What is the Greatest Common Factor of 67797 and 67803?

Greatest common factor (GCF) of 67797 and 67803 is 3.

GCF(67797,67803) = 3

We will now calculate the prime factors of 67797 and 67803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67797 and 67803.

How to find the GCF of 67797 and 67803?

We will first find the prime factorization of 67797 and 67803. After we will calculate the factors of 67797 and 67803 and find the biggest common factor number .

Step-1: Prime Factorization of 67797

Prime factors of 67797 are 3, 31. Prime factorization of 67797 in exponential form is:

67797 = 3⁷ × 31¹

Step-2: 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-3: Factors of 67797

List of positive integer factors of 67797 that divides 67797 without a remainder.

1, 3, 9, 27, 31, 81, 93, 243, 279, 729, 837, 2187, 2511, 7533, 22599

Step-4: Factors of 67803

List of positive integer factors of 67803 that divides 67797 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67797 and 67803. The biggest common factor number is the GCF number.
So the greatest common factor 67797 and 67803 is 3.

Also check out the Least Common Multiple of 67797 and 67803