What is the Greatest Common Factor of 69651 and 69666?

Greatest common factor (GCF) of 69651 and 69666 is 3.

GCF(69651,69666) = 3

We will now calculate the prime factors of 69651 and 69666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69651 and 69666.

How to find the GCF of 69651 and 69666?

We will first find the prime factorization of 69651 and 69666. After we will calculate the factors of 69651 and 69666 and find the biggest common factor number .

Step-1: Prime Factorization of 69651

Prime factors of 69651 are 3, 71, 109. Prime factorization of 69651 in exponential form is:

69651 = 3² × 71¹ × 109¹

Step-2: 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-3: Factors of 69651

List of positive integer factors of 69651 that divides 69651 without a remainder.

1, 3, 9, 71, 109, 213, 327, 639, 981, 7739, 23217

Step-4: Factors of 69666

List of positive integer factors of 69666 that divides 69651 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69651 and 69666. The biggest common factor number is the GCF number.
So the greatest common factor 69651 and 69666 is 3.

Also check out the Least Common Multiple of 69651 and 69666