What is the Greatest Common Factor of 69666 and 69683?

Greatest common factor (GCF) of 69666 and 69683 is 17.

GCF(69666,69683) = 17

We will now calculate the prime factors of 69666 and 69683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69666 and 69683.

How to find the GCF of 69666 and 69683?

We will first find the prime factorization of 69666 and 69683. After we will calculate the factors of 69666 and 69683 and find the biggest common factor number .

Step-1: Prime Factorization of 69666

Prime factors of 69666 are 2, 3, 17, 683. Prime factorization of 69666 in exponential form is:

69666 = 2¹ × 3¹ × 17¹ × 683¹

Step-2: Prime Factorization of 69683

Prime factors of 69683 are 17, 4099. Prime factorization of 69683 in exponential form is:

69683 = 17¹ × 4099¹

Step-3: Factors of 69666

List of positive integer factors of 69666 that divides 69666 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 683, 1366, 2049, 4098, 11611, 23222, 34833

Step-4: Factors of 69683

List of positive integer factors of 69683 that divides 69666 without a remainder.

1, 17, 4099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69666 and 69683. The biggest common factor number is the GCF number.
So the greatest common factor 69666 and 69683 is 17.

Also check out the Least Common Multiple of 69666 and 69683