What is the Greatest Common Factor of 42948 and 42966?

Greatest common factor (GCF) of 42948 and 42966 is 18.

GCF(42948,42966) = 18

We will now calculate the prime factors of 42948 and 42966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42948 and 42966.

How to find the GCF of 42948 and 42966?

We will first find the prime factorization of 42948 and 42966. After we will calculate the factors of 42948 and 42966 and find the biggest common factor number .

Step-1: Prime Factorization of 42948

Prime factors of 42948 are 2, 3, 1193. Prime factorization of 42948 in exponential form is:

42948 = 2² × 3² × 1193¹

Step-2: Prime Factorization of 42966

Prime factors of 42966 are 2, 3, 7, 11, 31. Prime factorization of 42966 in exponential form is:

42966 = 2¹ × 3² × 7¹ × 11¹ × 31¹

Step-3: Factors of 42948

List of positive integer factors of 42948 that divides 42948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1193, 2386, 3579, 4772, 7158, 10737, 14316, 21474

Step-4: Factors of 42966

List of positive integer factors of 42966 that divides 42948 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 31, 33, 42, 62, 63, 66, 77, 93, 99, 126, 154, 186, 198, 217, 231, 279, 341, 434, 462, 558, 651, 682, 693, 1023, 1302, 1386, 1953, 2046, 2387, 3069, 3906, 4774, 6138, 7161, 14322, 21483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42948 and 42966. The biggest common factor number is the GCF number.
So the greatest common factor 42948 and 42966 is 18.

Also check out the Least Common Multiple of 42948 and 42966