What is the Greatest Common Factor of 69666 and 69675?

Greatest common factor (GCF) of 69666 and 69675 is 3.

GCF(69666,69675) = 3

We will now calculate the prime factors of 69666 and 69675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69666 and 69675.

How to find the GCF of 69666 and 69675?

We will first find the prime factorization of 69666 and 69675. After we will calculate the factors of 69666 and 69675 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 69675

Prime factors of 69675 are 3, 5, 929. Prime factorization of 69675 in exponential form is:

69675 = 3¹ × 5² × 929¹

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 69675

List of positive integer factors of 69675 that divides 69666 without a remainder.

1, 3, 5, 15, 25, 75, 929, 2787, 4645, 13935, 23225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69666 and 69675. The biggest common factor number is the GCF number.
So the greatest common factor 69666 and 69675 is 3.

Also check out the Least Common Multiple of 69666 and 69675