What is the Greatest Common Factor of 66058 and 66072?

Greatest common factor (GCF) of 66058 and 66072 is 2.

GCF(66058,66072) = 2

We will now calculate the prime factors of 66058 and 66072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66058 and 66072.

How to find the GCF of 66058 and 66072?

We will first find the prime factorization of 66058 and 66072. After we will calculate the factors of 66058 and 66072 and find the biggest common factor number .

Step-1: Prime Factorization of 66058

Prime factors of 66058 are 2, 33029. Prime factorization of 66058 in exponential form is:

66058 = 2¹ × 33029¹

Step-2: 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-3: Factors of 66058

List of positive integer factors of 66058 that divides 66058 without a remainder.

1, 2, 33029

Step-4: Factors of 66072

List of positive integer factors of 66072 that divides 66058 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66058 and 66072. The biggest common factor number is the GCF number.
So the greatest common factor 66058 and 66072 is 2.

Also check out the Least Common Multiple of 66058 and 66072