What is the Greatest Common Factor of 32758 and 32769?

Greatest common factor (GCF) of 32758 and 32769 is 11.

GCF(32758,32769) = 11

We will now calculate the prime factors of 32758 and 32769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32758 and 32769.

How to find the GCF of 32758 and 32769?

We will first find the prime factorization of 32758 and 32769. After we will calculate the factors of 32758 and 32769 and find the biggest common factor number .

Step-1: Prime Factorization of 32758

Prime factors of 32758 are 2, 11, 1489. Prime factorization of 32758 in exponential form is:

32758 = 2¹ × 11¹ × 1489¹

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 32758

List of positive integer factors of 32758 that divides 32758 without a remainder.

1, 2, 11, 22, 1489, 2978, 16379

Step-4: Factors of 32769

List of positive integer factors of 32769 that divides 32758 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 32758 and 32769. The biggest common factor number is the GCF number.
So the greatest common factor 32758 and 32769 is 11.

Also check out the Least Common Multiple of 32758 and 32769