What is the Greatest Common Factor of 66054 and 66071?

Greatest common factor (GCF) of 66054 and 66071 is 1.

GCF(66054,66071) = 1

We will now calculate the prime factors of 66054 and 66071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66054 and 66071.

How to find the GCF of 66054 and 66071?

We will first find the prime factorization of 66054 and 66071. After we will calculate the factors of 66054 and 66071 and find the biggest common factor number .

Step-1: Prime Factorization of 66054

Prime factors of 66054 are 2, 3, 101, 109. Prime factorization of 66054 in exponential form is:

66054 = 2¹ × 3¹ × 101¹ × 109¹

Step-2: Prime Factorization of 66071

Prime factors of 66071 are 66071. Prime factorization of 66071 in exponential form is:

66071 = 66071¹

Step-3: Factors of 66054

List of positive integer factors of 66054 that divides 66054 without a remainder.

1, 2, 3, 6, 101, 109, 202, 218, 303, 327, 606, 654, 11009, 22018, 33027

Step-4: Factors of 66071

List of positive integer factors of 66071 that divides 66054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66054 and 66071. The biggest common factor number is the GCF number.
So the greatest common factor 66054 and 66071 is 1.

Also check out the Least Common Multiple of 66054 and 66071