What is the Greatest Common Factor of 69819 and 69836?

Greatest common factor (GCF) of 69819 and 69836 is 17.

GCF(69819,69836) = 17

We will now calculate the prime factors of 69819 and 69836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69819 and 69836.

How to find the GCF of 69819 and 69836?

We will first find the prime factorization of 69819 and 69836. After we will calculate the factors of 69819 and 69836 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 69836

Prime factors of 69836 are 2, 13, 17, 79. Prime factorization of 69836 in exponential form is:

69836 = 2² × 13¹ × 17¹ × 79¹

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 69836

List of positive integer factors of 69836 that divides 69819 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 79, 158, 221, 316, 442, 884, 1027, 1343, 2054, 2686, 4108, 5372, 17459, 34918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69819 and 69836. The biggest common factor number is the GCF number.
So the greatest common factor 69819 and 69836 is 17.

Also check out the Least Common Multiple of 69819 and 69836