What is the Greatest Common Factor of 80072 and 80092?

Greatest common factor (GCF) of 80072 and 80092 is 4.

GCF(80072,80092) = 4

We will now calculate the prime factors of 80072 and 80092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80072 and 80092.

How to find the GCF of 80072 and 80092?

We will first find the prime factorization of 80072 and 80092. After we will calculate the factors of 80072 and 80092 and find the biggest common factor number .

Step-1: Prime Factorization of 80072

Prime factors of 80072 are 2, 10009. Prime factorization of 80072 in exponential form is:

80072 = 2³ × 10009¹

Step-2: Prime Factorization of 80092

Prime factors of 80092 are 2, 20023. Prime factorization of 80092 in exponential form is:

80092 = 2² × 20023¹

Step-3: Factors of 80072

List of positive integer factors of 80072 that divides 80072 without a remainder.

1, 2, 4, 8, 10009, 20018, 40036

Step-4: Factors of 80092

List of positive integer factors of 80092 that divides 80072 without a remainder.

1, 2, 4, 20023, 40046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80072 and 80092. The biggest common factor number is the GCF number.
So the greatest common factor 80072 and 80092 is 4.

Also check out the Least Common Multiple of 80072 and 80092