What is the Greatest Common Factor of 69666 and 69672?

Greatest common factor (GCF) of 69666 and 69672 is 6.

GCF(69666,69672) = 6

We will now calculate the prime factors of 69666 and 69672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69666 and 69672.

How to find the GCF of 69666 and 69672?

We will first find the prime factorization of 69666 and 69672. After we will calculate the factors of 69666 and 69672 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 69672

Prime factors of 69672 are 2, 3, 2903. Prime factorization of 69672 in exponential form is:

69672 = 2³ × 3¹ × 2903¹

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 69672

List of positive integer factors of 69672 that divides 69666 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2903, 5806, 8709, 11612, 17418, 23224, 34836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69666 and 69672. The biggest common factor number is the GCF number.
So the greatest common factor 69666 and 69672 is 6.

Also check out the Least Common Multiple of 69666 and 69672