What is the Greatest Common Factor of 12051 and 12064?

Greatest common factor (GCF) of 12051 and 12064 is 13.

GCF(12051,12064) = 13

We will now calculate the prime factors of 12051 and 12064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12051 and 12064.

How to find the GCF of 12051 and 12064?

We will first find the prime factorization of 12051 and 12064. After we will calculate the factors of 12051 and 12064 and find the biggest common factor number .

Step-1: Prime Factorization of 12051

Prime factors of 12051 are 3, 13, 103. Prime factorization of 12051 in exponential form is:

12051 = 3² × 13¹ × 103¹

Step-2: Prime Factorization of 12064

Prime factors of 12064 are 2, 13, 29. Prime factorization of 12064 in exponential form is:

12064 = 2⁵ × 13¹ × 29¹

Step-3: Factors of 12051

List of positive integer factors of 12051 that divides 12051 without a remainder.

1, 3, 9, 13, 39, 103, 117, 309, 927, 1339, 4017

Step-4: Factors of 12064

List of positive integer factors of 12064 that divides 12051 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 32, 52, 58, 104, 116, 208, 232, 377, 416, 464, 754, 928, 1508, 3016, 6032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12051 and 12064. The biggest common factor number is the GCF number.
So the greatest common factor 12051 and 12064 is 13.

Also check out the Least Common Multiple of 12051 and 12064