What is the Greatest Common Factor of 68829 and 68841?

Greatest common factor (GCF) of 68829 and 68841 is 3.

GCF(68829,68841) = 3

We will now calculate the prime factors of 68829 and 68841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68829 and 68841.

How to find the GCF of 68829 and 68841?

We will first find the prime factorization of 68829 and 68841. After we will calculate the factors of 68829 and 68841 and find the biggest common factor number .

Step-1: Prime Factorization of 68829

Prime factors of 68829 are 3, 22943. Prime factorization of 68829 in exponential form is:

68829 = 3¹ × 22943¹

Step-2: Prime Factorization of 68841

Prime factors of 68841 are 3, 7649. Prime factorization of 68841 in exponential form is:

68841 = 3² × 7649¹

Step-3: Factors of 68829

List of positive integer factors of 68829 that divides 68829 without a remainder.

1, 3, 22943

Step-4: Factors of 68841

List of positive integer factors of 68841 that divides 68829 without a remainder.

1, 3, 9, 7649, 22947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68829 and 68841. The biggest common factor number is the GCF number.
So the greatest common factor 68829 and 68841 is 3.

Also check out the Least Common Multiple of 68829 and 68841