What is the Greatest Common Factor of 69801 and 69819?

Greatest common factor (GCF) of 69801 and 69819 is 3.

GCF(69801,69819) = 3

We will now calculate the prime factors of 69801 and 69819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69801 and 69819.

How to find the GCF of 69801 and 69819?

We will first find the prime factorization of 69801 and 69819. After we will calculate the factors of 69801 and 69819 and find the biggest common factor number .

Step-1: Prime Factorization of 69801

Prime factors of 69801 are 3, 53, 439. Prime factorization of 69801 in exponential form is:

69801 = 3¹ × 53¹ × 439¹

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 69801

List of positive integer factors of 69801 that divides 69801 without a remainder.

1, 3, 53, 159, 439, 1317, 23267

Step-4: Factors of 69819

List of positive integer factors of 69819 that divides 69801 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 69801 and 69819. The biggest common factor number is the GCF number.
So the greatest common factor 69801 and 69819 is 3.

Also check out the Least Common Multiple of 69801 and 69819