What is the Greatest Common Factor of 67821 and 67834?

Greatest common factor (GCF) of 67821 and 67834 is 13.

GCF(67821,67834) = 13

We will now calculate the prime factors of 67821 and 67834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67821 and 67834.

How to find the GCF of 67821 and 67834?

We will first find the prime factorization of 67821 and 67834. After we will calculate the factors of 67821 and 67834 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 67834

Prime factors of 67834 are 2, 13, 2609. Prime factorization of 67834 in exponential form is:

67834 = 2¹ × 13¹ × 2609¹

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 67834

List of positive integer factors of 67834 that divides 67821 without a remainder.

1, 2, 13, 26, 2609, 5218, 33917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67821 and 67834. The biggest common factor number is the GCF number.
So the greatest common factor 67821 and 67834 is 13.

Also check out the Least Common Multiple of 67821 and 67834