What is the Greatest Common Factor of 80072 and 80076?

Greatest common factor (GCF) of 80072 and 80076 is 4.

GCF(80072,80076) = 4

We will now calculate the prime factors of 80072 and 80076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80072 and 80076.

How to find the GCF of 80072 and 80076?

We will first find the prime factorization of 80072 and 80076. After we will calculate the factors of 80072 and 80076 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 80076

Prime factors of 80076 are 2, 3, 6673. Prime factorization of 80076 in exponential form is:

80076 = 2² × 3¹ × 6673¹

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 80076

List of positive integer factors of 80076 that divides 80072 without a remainder.

1, 2, 3, 4, 6, 12, 6673, 13346, 20019, 26692, 40038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80072 and 80076. The biggest common factor number is the GCF number.
So the greatest common factor 80072 and 80076 is 4.

Also check out the Least Common Multiple of 80072 and 80076