What is the Greatest Common Factor of 42966 and 42982?

Greatest common factor (GCF) of 42966 and 42982 is 2.

GCF(42966,42982) = 2

We will now calculate the prime factors of 42966 and 42982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42966 and 42982.

How to find the GCF of 42966 and 42982?

We will first find the prime factorization of 42966 and 42982. After we will calculate the factors of 42966 and 42982 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 42982

Prime factors of 42982 are 2, 21491. Prime factorization of 42982 in exponential form is:

42982 = 2¹ × 21491¹

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 42982

List of positive integer factors of 42982 that divides 42966 without a remainder.

1, 2, 21491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42966 and 42982. The biggest common factor number is the GCF number.
So the greatest common factor 42966 and 42982 is 2.

Also check out the Least Common Multiple of 42966 and 42982