What is the Greatest Common Factor of 66072 and 66076?

Greatest common factor (GCF) of 66072 and 66076 is 4.

GCF(66072,66076) = 4

We will now calculate the prime factors of 66072 and 66076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66072 and 66076.

How to find the GCF of 66072 and 66076?

We will first find the prime factorization of 66072 and 66076. After we will calculate the factors of 66072 and 66076 and find the biggest common factor number .

Step-1: Prime Factorization of 66072

Prime factors of 66072 are 2, 3, 2753. Prime factorization of 66072 in exponential form is:

66072 = 2³ × 3¹ × 2753¹

Step-2: Prime Factorization of 66076

Prime factors of 66076 are 2, 16519. Prime factorization of 66076 in exponential form is:

66076 = 2² × 16519¹

Step-3: Factors of 66072

List of positive integer factors of 66072 that divides 66072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2753, 5506, 8259, 11012, 16518, 22024, 33036

Step-4: Factors of 66076

List of positive integer factors of 66076 that divides 66072 without a remainder.

1, 2, 4, 16519, 33038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66072 and 66076. The biggest common factor number is the GCF number.
So the greatest common factor 66072 and 66076 is 4.

Also check out the Least Common Multiple of 66072 and 66076