What is the Greatest Common Factor of 67803 and 67812?

Greatest common factor (GCF) of 67803 and 67812 is 3.

GCF(67803,67812) = 3

We will now calculate the prime factors of 67803 and 67812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67803 and 67812.

How to find the GCF of 67803 and 67812?

We will first find the prime factorization of 67803 and 67812. After we will calculate the factors of 67803 and 67812 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 67812

Prime factors of 67812 are 2, 3, 5651. Prime factorization of 67812 in exponential form is:

67812 = 2² × 3¹ × 5651¹

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 67812

List of positive integer factors of 67812 that divides 67803 without a remainder.

1, 2, 3, 4, 6, 12, 5651, 11302, 16953, 22604, 33906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67803 and 67812. The biggest common factor number is the GCF number.
So the greatest common factor 67803 and 67812 is 3.

Also check out the Least Common Multiple of 67803 and 67812