What is the Greatest Common Factor of 69819 and 69837?

Greatest common factor (GCF) of 69819 and 69837 is 3.

GCF(69819,69837) = 3

We will now calculate the prime factors of 69819 and 69837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69819 and 69837.

How to find the GCF of 69819 and 69837?

We will first find the prime factorization of 69819 and 69837. After we will calculate the factors of 69819 and 69837 and find the biggest common factor number .

Step-1: Prime Factorization of 69819

Prime factors of 69819 are 3, 17, 37. Prime factorization of 69819 in exponential form is:

69819 = 3¹ × 17¹ × 37²

Step-2: Prime Factorization of 69837

Prime factors of 69837 are 3, 23279. Prime factorization of 69837 in exponential form is:

69837 = 3¹ × 23279¹

Step-3: Factors of 69819

List of positive integer factors of 69819 that divides 69819 without a remainder.

1, 3, 17, 37, 51, 111, 629, 1369, 1887, 4107, 23273

Step-4: Factors of 69837

List of positive integer factors of 69837 that divides 69819 without a remainder.

1, 3, 23279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69819 and 69837. The biggest common factor number is the GCF number.
So the greatest common factor 69819 and 69837 is 3.

Also check out the Least Common Multiple of 69819 and 69837