What is the Greatest Common Factor of 80044 and 80056?

Greatest common factor (GCF) of 80044 and 80056 is 4.

GCF(80044,80056) = 4

We will now calculate the prime factors of 80044 and 80056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80044 and 80056.

How to find the GCF of 80044 and 80056?

We will first find the prime factorization of 80044 and 80056. After we will calculate the factors of 80044 and 80056 and find the biggest common factor number .

Step-1: Prime Factorization of 80044

Prime factors of 80044 are 2, 20011. Prime factorization of 80044 in exponential form is:

80044 = 2² × 20011¹

Step-2: Prime Factorization of 80056

Prime factors of 80056 are 2, 10007. Prime factorization of 80056 in exponential form is:

80056 = 2³ × 10007¹

Step-3: Factors of 80044

List of positive integer factors of 80044 that divides 80044 without a remainder.

1, 2, 4, 20011, 40022

Step-4: Factors of 80056

List of positive integer factors of 80056 that divides 80044 without a remainder.

1, 2, 4, 8, 10007, 20014, 40028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80044 and 80056. The biggest common factor number is the GCF number.
So the greatest common factor 80044 and 80056 is 4.

Also check out the Least Common Multiple of 80044 and 80056