What is the Greatest Common Factor of 32049 and 32064?

Greatest common factor (GCF) of 32049 and 32064 is 3.

GCF(32049,32064) = 3

We will now calculate the prime factors of 32049 and 32064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32049 and 32064.

How to find the GCF of 32049 and 32064?

We will first find the prime factorization of 32049 and 32064. After we will calculate the factors of 32049 and 32064 and find the biggest common factor number .

Step-1: Prime Factorization of 32049

Prime factors of 32049 are 3, 1187. Prime factorization of 32049 in exponential form is:

32049 = 3³ × 1187¹

Step-2: Prime Factorization of 32064

Prime factors of 32064 are 2, 3, 167. Prime factorization of 32064 in exponential form is:

32064 = 2⁶ × 3¹ × 167¹

Step-3: Factors of 32049

List of positive integer factors of 32049 that divides 32049 without a remainder.

1, 3, 9, 27, 1187, 3561, 10683

Step-4: Factors of 32064

List of positive integer factors of 32064 that divides 32049 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 167, 192, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 5344, 8016, 10688, 16032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32049 and 32064. The biggest common factor number is the GCF number.
So the greatest common factor 32049 and 32064 is 3.

Also check out the Least Common Multiple of 32049 and 32064