What is the Greatest Common Factor of 72042 and 72056?

Greatest common factor (GCF) of 72042 and 72056 is 2.

GCF(72042,72056) = 2

We will now calculate the prime factors of 72042 and 72056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72042 and 72056.

How to find the GCF of 72042 and 72056?

We will first find the prime factorization of 72042 and 72056. After we will calculate the factors of 72042 and 72056 and find the biggest common factor number .

Step-1: Prime Factorization of 72042

Prime factors of 72042 are 2, 3, 12007. Prime factorization of 72042 in exponential form is:

72042 = 2¹ × 3¹ × 12007¹

Step-2: Prime Factorization of 72056

Prime factors of 72056 are 2, 9007. Prime factorization of 72056 in exponential form is:

72056 = 2³ × 9007¹

Step-3: Factors of 72042

List of positive integer factors of 72042 that divides 72042 without a remainder.

1, 2, 3, 6, 12007, 24014, 36021

Step-4: Factors of 72056

List of positive integer factors of 72056 that divides 72042 without a remainder.

1, 2, 4, 8, 9007, 18014, 36028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72042 and 72056. The biggest common factor number is the GCF number.
So the greatest common factor 72042 and 72056 is 2.

Also check out the Least Common Multiple of 72042 and 72056