What is the Greatest Common Factor of 32751 and 32769?

Greatest common factor (GCF) of 32751 and 32769 is 9.

GCF(32751,32769) = 9

We will now calculate the prime factors of 32751 and 32769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32751 and 32769.

How to find the GCF of 32751 and 32769?

We will first find the prime factorization of 32751 and 32769. After we will calculate the factors of 32751 and 32769 and find the biggest common factor number .

Step-1: Prime Factorization of 32751

Prime factors of 32751 are 3, 1213. Prime factorization of 32751 in exponential form is:

32751 = 3³ × 1213¹

Step-2: Prime Factorization of 32769

Prime factors of 32769 are 3, 11, 331. Prime factorization of 32769 in exponential form is:

32769 = 3² × 11¹ × 331¹

Step-3: Factors of 32751

List of positive integer factors of 32751 that divides 32751 without a remainder.

1, 3, 9, 27, 1213, 3639, 10917

Step-4: Factors of 32769

List of positive integer factors of 32769 that divides 32751 without a remainder.

1, 3, 9, 11, 33, 99, 331, 993, 2979, 3641, 10923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32751 and 32769. The biggest common factor number is the GCF number.
So the greatest common factor 32751 and 32769 is 9.

Also check out the Least Common Multiple of 32751 and 32769