What is the Greatest Common Factor of 69953 and 69966?

Greatest common factor (GCF) of 69953 and 69966 is 13.

GCF(69953,69966) = 13

We will now calculate the prime factors of 69953 and 69966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69953 and 69966.

How to find the GCF of 69953 and 69966?

We will first find the prime factorization of 69953 and 69966. After we will calculate the factors of 69953 and 69966 and find the biggest common factor number .

Step-1: Prime Factorization of 69953

Prime factors of 69953 are 13, 5381. Prime factorization of 69953 in exponential form is:

69953 = 13¹ × 5381¹

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 69953

List of positive integer factors of 69953 that divides 69953 without a remainder.

1, 13, 5381

Step-4: Factors of 69966

List of positive integer factors of 69966 that divides 69953 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 69953 and 69966. The biggest common factor number is the GCF number.
So the greatest common factor 69953 and 69966 is 13.

Also check out the Least Common Multiple of 69953 and 69966