What is the Greatest Common Factor of 80042 and 80056?

Greatest common factor (GCF) of 80042 and 80056 is 2.

GCF(80042,80056) = 2

We will now calculate the prime factors of 80042 and 80056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80042 and 80056.

How to find the GCF of 80042 and 80056?

We will first find the prime factorization of 80042 and 80056. After we will calculate the factors of 80042 and 80056 and find the biggest common factor number .

Step-1: Prime Factorization of 80042

Prime factors of 80042 are 2, 31, 1291. Prime factorization of 80042 in exponential form is:

80042 = 2¹ × 31¹ × 1291¹

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 80042

List of positive integer factors of 80042 that divides 80042 without a remainder.

1, 2, 31, 62, 1291, 2582, 40021

Step-4: Factors of 80056

List of positive integer factors of 80056 that divides 80042 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80042 and 80056. The biggest common factor number is the GCF number.
So the greatest common factor 80042 and 80056 is 2.

Also check out the Least Common Multiple of 80042 and 80056