What is the Greatest Common Factor of 42072 and 42078?

Greatest common factor (GCF) of 42072 and 42078 is 6.

GCF(42072,42078) = 6

We will now calculate the prime factors of 42072 and 42078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42072 and 42078.

How to find the GCF of 42072 and 42078?

We will first find the prime factorization of 42072 and 42078. After we will calculate the factors of 42072 and 42078 and find the biggest common factor number .

Step-1: Prime Factorization of 42072

Prime factors of 42072 are 2, 3, 1753. Prime factorization of 42072 in exponential form is:

42072 = 2³ × 3¹ × 1753¹

Step-2: Prime Factorization of 42078

Prime factors of 42078 are 2, 3, 7013. Prime factorization of 42078 in exponential form is:

42078 = 2¹ × 3¹ × 7013¹

Step-3: Factors of 42072

List of positive integer factors of 42072 that divides 42072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1753, 3506, 5259, 7012, 10518, 14024, 21036

Step-4: Factors of 42078

List of positive integer factors of 42078 that divides 42072 without a remainder.

1, 2, 3, 6, 7013, 14026, 21039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42072 and 42078. The biggest common factor number is the GCF number.
So the greatest common factor 42072 and 42078 is 6.

Also check out the Least Common Multiple of 42072 and 42078