What is the Greatest Common Factor of 69831 and 69849?

Greatest common factor (GCF) of 69831 and 69849 is 9.

GCF(69831,69849) = 9

We will now calculate the prime factors of 69831 and 69849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69831 and 69849.

How to find the GCF of 69831 and 69849?

We will first find the prime factorization of 69831 and 69849. After we will calculate the factors of 69831 and 69849 and find the biggest common factor number .

Step-1: Prime Factorization of 69831

Prime factors of 69831 are 3, 7759. Prime factorization of 69831 in exponential form is:

69831 = 3² × 7759¹

Step-2: Prime Factorization of 69849

Prime factors of 69849 are 3, 13, 199. Prime factorization of 69849 in exponential form is:

69849 = 3³ × 13¹ × 199¹

Step-3: Factors of 69831

List of positive integer factors of 69831 that divides 69831 without a remainder.

1, 3, 9, 7759, 23277

Step-4: Factors of 69849

List of positive integer factors of 69849 that divides 69831 without a remainder.

1, 3, 9, 13, 27, 39, 117, 199, 351, 597, 1791, 2587, 5373, 7761, 23283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69831 and 69849. The biggest common factor number is the GCF number.
So the greatest common factor 69831 and 69849 is 9.

Also check out the Least Common Multiple of 69831 and 69849