What is the Greatest Common Factor of 69948 and 69966?

Greatest common factor (GCF) of 69948 and 69966 is 18.

GCF(69948,69966) = 18

We will now calculate the prime factors of 69948 and 69966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69948 and 69966.

How to find the GCF of 69948 and 69966?

We will first find the prime factorization of 69948 and 69966. After we will calculate the factors of 69948 and 69966 and find the biggest common factor number .

Step-1: Prime Factorization of 69948

Prime factors of 69948 are 2, 3, 29, 67. Prime factorization of 69948 in exponential form is:

69948 = 2² × 3² × 29¹ × 67¹

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 69948

List of positive integer factors of 69948 that divides 69948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 67, 87, 116, 134, 174, 201, 261, 268, 348, 402, 522, 603, 804, 1044, 1206, 1943, 2412, 3886, 5829, 7772, 11658, 17487, 23316, 34974

Step-4: Factors of 69966

List of positive integer factors of 69966 that divides 69948 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 69948 and 69966. The biggest common factor number is the GCF number.
So the greatest common factor 69948 and 69966 is 18.

Also check out the Least Common Multiple of 69948 and 69966