What is the Greatest Common Factor of 2049 and 2064?

Greatest common factor (GCF) of 2049 and 2064 is 3.

GCF(2049,2064) = 3

We will now calculate the prime factors of 2049 and 2064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2049 and 2064.

How to find the GCF of 2049 and 2064?

We will first find the prime factorization of 2049 and 2064. After we will calculate the factors of 2049 and 2064 and find the biggest common factor number .

Step-1: Prime Factorization of 2049

Prime factors of 2049 are 3, 683. Prime factorization of 2049 in exponential form is:

2049 = 3¹ × 683¹

Step-2: Prime Factorization of 2064

Prime factors of 2064 are 2, 3, 43. Prime factorization of 2064 in exponential form is:

2064 = 2⁴ × 3¹ × 43¹

Step-3: Factors of 2049

List of positive integer factors of 2049 that divides 2049 without a remainder.

1, 3, 683

Step-4: Factors of 2064

List of positive integer factors of 2064 that divides 2049 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2049 and 2064. The biggest common factor number is the GCF number.
So the greatest common factor 2049 and 2064 is 3.

Also check out the Least Common Multiple of 2049 and 2064