What is the Greatest Common Factor of 69957 and 69966?

Greatest common factor (GCF) of 69957 and 69966 is 9.

GCF(69957,69966) = 9

We will now calculate the prime factors of 69957 and 69966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69957 and 69966.

How to find the GCF of 69957 and 69966?

We will first find the prime factorization of 69957 and 69966. After we will calculate the factors of 69957 and 69966 and find the biggest common factor number .

Step-1: Prime Factorization of 69957

Prime factors of 69957 are 3, 2591. Prime factorization of 69957 in exponential form is:

69957 = 3³ × 2591¹

Step-2: Prime Factorization of 69966

Prime factors of 69966 are 2, 3, 13, 23. Prime factorization of 69966 in exponential form is:

69966 = 2¹ × 3² × 13² × 23¹

Step-3: Factors of 69957

List of positive integer factors of 69957 that divides 69957 without a remainder.

1, 3, 9, 27, 2591, 7773, 23319

Step-4: Factors of 69966

List of positive integer factors of 69966 that divides 69957 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 169, 207, 234, 299, 338, 414, 507, 598, 897, 1014, 1521, 1794, 2691, 3042, 3887, 5382, 7774, 11661, 23322, 34983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69957 and 69966. The biggest common factor number is the GCF number.
So the greatest common factor 69957 and 69966 is 9.

Also check out the Least Common Multiple of 69957 and 69966