What is the Greatest Common Factor of 32896 and 32916?

Greatest common factor (GCF) of 32896 and 32916 is 4.

GCF(32896,32916) = 4

We will now calculate the prime factors of 32896 and 32916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32896 and 32916.

How to find the GCF of 32896 and 32916?

We will first find the prime factorization of 32896 and 32916. After we will calculate the factors of 32896 and 32916 and find the biggest common factor number .

Step-1: Prime Factorization of 32896

Prime factors of 32896 are 2, 257. Prime factorization of 32896 in exponential form is:

32896 = 2⁷ × 257¹

Step-2: 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-3: Factors of 32896

List of positive integer factors of 32896 that divides 32896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 257, 514, 1028, 2056, 4112, 8224, 16448

Step-4: Factors of 32916

List of positive integer factors of 32916 that divides 32896 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32896 and 32916. The biggest common factor number is the GCF number.
So the greatest common factor 32896 and 32916 is 4.

Also check out the Least Common Multiple of 32896 and 32916