What is the Greatest Common Factor of 66054 and 66064?

Greatest common factor (GCF) of 66054 and 66064 is 2.

GCF(66054,66064) = 2

We will now calculate the prime factors of 66054 and 66064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66054 and 66064.

How to find the GCF of 66054 and 66064?

We will first find the prime factorization of 66054 and 66064. After we will calculate the factors of 66054 and 66064 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 66064

Prime factors of 66064 are 2, 4129. Prime factorization of 66064 in exponential form is:

66064 = 2⁴ × 4129¹

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 66064

List of positive integer factors of 66064 that divides 66054 without a remainder.

1, 2, 4, 8, 16, 4129, 8258, 16516, 33032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66054 and 66064. The biggest common factor number is the GCF number.
So the greatest common factor 66054 and 66064 is 2.

Also check out the Least Common Multiple of 66054 and 66064