What is the Greatest Common Factor of 42959 and 42966?

Greatest common factor (GCF) of 42959 and 42966 is 7.

GCF(42959,42966) = 7

We will now calculate the prime factors of 42959 and 42966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42959 and 42966.

How to find the GCF of 42959 and 42966?

We will first find the prime factorization of 42959 and 42966. After we will calculate the factors of 42959 and 42966 and find the biggest common factor number .

Step-1: Prime Factorization of 42959

Prime factors of 42959 are 7, 17, 19. Prime factorization of 42959 in exponential form is:

42959 = 7¹ × 17¹ × 19²

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 42959

List of positive integer factors of 42959 that divides 42959 without a remainder.

1, 7, 17, 19, 119, 133, 323, 361, 2261, 2527, 6137

Step-4: Factors of 42966

List of positive integer factors of 42966 that divides 42959 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 42959 and 42966. The biggest common factor number is the GCF number.
So the greatest common factor 42959 and 42966 is 7.

Also check out the Least Common Multiple of 42959 and 42966