What is the Greatest Common Factor of 4053 and 4059?

Greatest common factor (GCF) of 4053 and 4059 is 3.

GCF(4053,4059) = 3

We will now calculate the prime factors of 4053 and 4059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4053 and 4059.

How to find the GCF of 4053 and 4059?

We will first find the prime factorization of 4053 and 4059. After we will calculate the factors of 4053 and 4059 and find the biggest common factor number .

Step-1: Prime Factorization of 4053

Prime factors of 4053 are 3, 7, 193. Prime factorization of 4053 in exponential form is:

4053 = 3¹ × 7¹ × 193¹

Step-2: Prime Factorization of 4059

Prime factors of 4059 are 3, 11, 41. Prime factorization of 4059 in exponential form is:

4059 = 3² × 11¹ × 41¹

Step-3: Factors of 4053

List of positive integer factors of 4053 that divides 4053 without a remainder.

1, 3, 7, 21, 193, 579, 1351

Step-4: Factors of 4059

List of positive integer factors of 4059 that divides 4053 without a remainder.

1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4053 and 4059. The biggest common factor number is the GCF number.
So the greatest common factor 4053 and 4059 is 3.

Also check out the Least Common Multiple of 4053 and 4059