What is the Greatest Common Factor of 42966 and 42981?

Greatest common factor (GCF) of 42966 and 42981 is 3.

GCF(42966,42981) = 3

We will now calculate the prime factors of 42966 and 42981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42966 and 42981.

How to find the GCF of 42966 and 42981?

We will first find the prime factorization of 42966 and 42981. After we will calculate the factors of 42966 and 42981 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42981

Prime factors of 42981 are 3, 14327. Prime factorization of 42981 in exponential form is:

42981 = 3¹ × 14327¹

Step-3: Factors of 42966

List of positive integer factors of 42966 that divides 42966 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

Step-4: Factors of 42981

List of positive integer factors of 42981 that divides 42966 without a remainder.

1, 3, 14327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42966 and 42981. The biggest common factor number is the GCF number.
So the greatest common factor 42966 and 42981 is 3.

Also check out the Least Common Multiple of 42966 and 42981