What is the Greatest Common Factor of 66829 and 66843?

Greatest common factor (GCF) of 66829 and 66843 is 7.

GCF(66829,66843) = 7

We will now calculate the prime factors of 66829 and 66843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66829 and 66843.

How to find the GCF of 66829 and 66843?

We will first find the prime factorization of 66829 and 66843. After we will calculate the factors of 66829 and 66843 and find the biggest common factor number .

Step-1: Prime Factorization of 66829

Prime factors of 66829 are 7, 9547. Prime factorization of 66829 in exponential form is:

66829 = 7¹ × 9547¹

Step-2: Prime Factorization of 66843

Prime factors of 66843 are 3, 7, 1061. Prime factorization of 66843 in exponential form is:

66843 = 3² × 7¹ × 1061¹

Step-3: Factors of 66829

List of positive integer factors of 66829 that divides 66829 without a remainder.

1, 7, 9547

Step-4: Factors of 66843

List of positive integer factors of 66843 that divides 66829 without a remainder.

1, 3, 7, 9, 21, 63, 1061, 3183, 7427, 9549, 22281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66829 and 66843. The biggest common factor number is the GCF number.
So the greatest common factor 66829 and 66843 is 7.

Also check out the Least Common Multiple of 66829 and 66843