What is the Greatest Common Factor of 69966 and 69974?

Greatest common factor (GCF) of 69966 and 69974 is 2.

GCF(69966,69974) = 2

We will now calculate the prime factors of 69966 and 69974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69966 and 69974.

How to find the GCF of 69966 and 69974?

We will first find the prime factorization of 69966 and 69974. After we will calculate the factors of 69966 and 69974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69974

Prime factors of 69974 are 2, 59, 593. Prime factorization of 69974 in exponential form is:

69974 = 2¹ × 59¹ × 593¹

Step-3: Factors of 69966

List of positive integer factors of 69966 that divides 69966 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

Step-4: Factors of 69974

List of positive integer factors of 69974 that divides 69966 without a remainder.

1, 2, 59, 118, 593, 1186, 34987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69966 and 69974. The biggest common factor number is the GCF number.
So the greatest common factor 69966 and 69974 is 2.

Also check out the Least Common Multiple of 69966 and 69974