What is the Greatest Common Factor of 66072 and 66087?

Greatest common factor (GCF) of 66072 and 66087 is 3.

GCF(66072,66087) = 3

We will now calculate the prime factors of 66072 and 66087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66072 and 66087.

How to find the GCF of 66072 and 66087?

We will first find the prime factorization of 66072 and 66087. After we will calculate the factors of 66072 and 66087 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 66087

Prime factors of 66087 are 3, 7, 1049. Prime factorization of 66087 in exponential form is:

66087 = 3² × 7¹ × 1049¹

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 66087

List of positive integer factors of 66087 that divides 66072 without a remainder.

1, 3, 7, 9, 21, 63, 1049, 3147, 7343, 9441, 22029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66072 and 66087. The biggest common factor number is the GCF number.
So the greatest common factor 66072 and 66087 is 3.

Also check out the Least Common Multiple of 66072 and 66087