What is the Greatest Common Factor of 42966 and 42972?

Greatest common factor (GCF) of 42966 and 42972 is 6.

GCF(42966,42972) = 6

We will now calculate the prime factors of 42966 and 42972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42966 and 42972.

How to find the GCF of 42966 and 42972?

We will first find the prime factorization of 42966 and 42972. After we will calculate the factors of 42966 and 42972 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 42972

Prime factors of 42972 are 2, 3, 3581. Prime factorization of 42972 in exponential form is:

42972 = 2² × 3¹ × 3581¹

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 42972

List of positive integer factors of 42972 that divides 42966 without a remainder.

1, 2, 3, 4, 6, 12, 3581, 7162, 10743, 14324, 21486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42966 and 42972. The biggest common factor number is the GCF number.
So the greatest common factor 42966 and 42972 is 6.

Also check out the Least Common Multiple of 42966 and 42972