What is the Greatest Common Factor of 86829 and 86844?

Greatest common factor (GCF) of 86829 and 86844 is 3.

GCF(86829,86844) = 3

We will now calculate the prime factors of 86829 and 86844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86829 and 86844.

How to find the GCF of 86829 and 86844?

We will first find the prime factorization of 86829 and 86844. After we will calculate the factors of 86829 and 86844 and find the biggest common factor number .

Step-1: Prime Factorization of 86829

Prime factors of 86829 are 3, 103, 281. Prime factorization of 86829 in exponential form is:

86829 = 3¹ × 103¹ × 281¹

Step-2: Prime Factorization of 86844

Prime factors of 86844 are 2, 3, 7237. Prime factorization of 86844 in exponential form is:

86844 = 2² × 3¹ × 7237¹

Step-3: Factors of 86829

List of positive integer factors of 86829 that divides 86829 without a remainder.

1, 3, 103, 281, 309, 843, 28943

Step-4: Factors of 86844

List of positive integer factors of 86844 that divides 86829 without a remainder.

1, 2, 3, 4, 6, 12, 7237, 14474, 21711, 28948, 43422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86829 and 86844. The biggest common factor number is the GCF number.
So the greatest common factor 86829 and 86844 is 3.

Also check out the Least Common Multiple of 86829 and 86844