What is the Greatest Common Factor of 69802 and 69819?

Greatest common factor (GCF) of 69802 and 69819 is 17.

GCF(69802,69819) = 17

We will now calculate the prime factors of 69802 and 69819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69802 and 69819.

How to find the GCF of 69802 and 69819?

We will first find the prime factorization of 69802 and 69819. After we will calculate the factors of 69802 and 69819 and find the biggest common factor number .

Step-1: Prime Factorization of 69802

Prime factors of 69802 are 2, 17, 2053. Prime factorization of 69802 in exponential form is:

69802 = 2¹ × 17¹ × 2053¹

Step-2: 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-3: Factors of 69802

List of positive integer factors of 69802 that divides 69802 without a remainder.

1, 2, 17, 34, 2053, 4106, 34901

Step-4: Factors of 69819

List of positive integer factors of 69819 that divides 69802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69802 and 69819. The biggest common factor number is the GCF number.
So the greatest common factor 69802 and 69819 is 17.

Also check out the Least Common Multiple of 69802 and 69819