What is the Greatest Common Factor of 67821 and 67827?

Greatest common factor (GCF) of 67821 and 67827 is 3.

GCF(67821,67827) = 3

We will now calculate the prime factors of 67821 and 67827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67821 and 67827.

How to find the GCF of 67821 and 67827?

We will first find the prime factorization of 67821 and 67827. After we will calculate the factors of 67821 and 67827 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67827

Prime factors of 67827 are 3, 23, 983. Prime factorization of 67827 in exponential form is:

67827 = 3¹ × 23¹ × 983¹

Step-3: Factors of 67821

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

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

Step-4: Factors of 67827

List of positive integer factors of 67827 that divides 67821 without a remainder.

1, 3, 23, 69, 983, 2949, 22609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67821 and 67827. The biggest common factor number is the GCF number.
So the greatest common factor 67821 and 67827 is 3.

Also check out the Least Common Multiple of 67821 and 67827