What is the Greatest Common Factor of 32916 and 32929?

Greatest common factor (GCF) of 32916 and 32929 is 13.

GCF(32916,32929) = 13

We will now calculate the prime factors of 32916 and 32929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32916 and 32929.

How to find the GCF of 32916 and 32929?

We will first find the prime factorization of 32916 and 32929. After we will calculate the factors of 32916 and 32929 and find the biggest common factor number .

Step-1: Prime Factorization of 32916

Prime factors of 32916 are 2, 3, 13, 211. Prime factorization of 32916 in exponential form is:

32916 = 2² × 3¹ × 13¹ × 211¹

Step-2: Prime Factorization of 32929

Prime factors of 32929 are 13, 17, 149. Prime factorization of 32929 in exponential form is:

32929 = 13¹ × 17¹ × 149¹

Step-3: Factors of 32916

List of positive integer factors of 32916 that divides 32916 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 211, 422, 633, 844, 1266, 2532, 2743, 5486, 8229, 10972, 16458

Step-4: Factors of 32929

List of positive integer factors of 32929 that divides 32916 without a remainder.

1, 13, 17, 149, 221, 1937, 2533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32916 and 32929. The biggest common factor number is the GCF number.
So the greatest common factor 32916 and 32929 is 13.

Also check out the Least Common Multiple of 32916 and 32929