What is the Greatest Common Factor of 42966 and 42979?

Greatest common factor (GCF) of 42966 and 42979 is 1.

GCF(42966,42979) = 1

We will now calculate the prime factors of 42966 and 42979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42966 and 42979.

How to find the GCF of 42966 and 42979?

We will first find the prime factorization of 42966 and 42979. After we will calculate the factors of 42966 and 42979 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 42979

Prime factors of 42979 are 42979. Prime factorization of 42979 in exponential form is:

42979 = 42979¹

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 42979

List of positive integer factors of 42979 that divides 42966 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42966 and 42979. The biggest common factor number is the GCF number.
So the greatest common factor 42966 and 42979 is 1.

Also check out the Least Common Multiple of 42966 and 42979