What is the Greatest Common Factor of 69783 and 69795?

Greatest common factor (GCF) of 69783 and 69795 is 3.

GCF(69783,69795) = 3

We will now calculate the prime factors of 69783 and 69795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69783 and 69795.

How to find the GCF of 69783 and 69795?

We will first find the prime factorization of 69783 and 69795. After we will calculate the factors of 69783 and 69795 and find the biggest common factor number .

Step-1: Prime Factorization of 69783

Prime factors of 69783 are 3, 7, 3323. Prime factorization of 69783 in exponential form is:

69783 = 3¹ × 7¹ × 3323¹

Step-2: Prime Factorization of 69795

Prime factors of 69795 are 3, 5, 11, 47. Prime factorization of 69795 in exponential form is:

69795 = 3³ × 5¹ × 11¹ × 47¹

Step-3: Factors of 69783

List of positive integer factors of 69783 that divides 69783 without a remainder.

1, 3, 7, 21, 3323, 9969, 23261

Step-4: Factors of 69795

List of positive integer factors of 69795 that divides 69783 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 47, 55, 99, 135, 141, 165, 235, 297, 423, 495, 517, 705, 1269, 1485, 1551, 2115, 2585, 4653, 6345, 7755, 13959, 23265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69783 and 69795. The biggest common factor number is the GCF number.
So the greatest common factor 69783 and 69795 is 3.

Also check out the Least Common Multiple of 69783 and 69795