What is the Greatest Common Factor of 33644 and 33664?

Greatest common factor (GCF) of 33644 and 33664 is 4.

GCF(33644,33664) = 4

We will now calculate the prime factors of 33644 and 33664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33644 and 33664.

How to find the GCF of 33644 and 33664?

We will first find the prime factorization of 33644 and 33664. After we will calculate the factors of 33644 and 33664 and find the biggest common factor number .

Step-1: Prime Factorization of 33644

Prime factors of 33644 are 2, 13, 647. Prime factorization of 33644 in exponential form is:

33644 = 2² × 13¹ × 647¹

Step-2: Prime Factorization of 33664

Prime factors of 33664 are 2, 263. Prime factorization of 33664 in exponential form is:

33664 = 2⁷ × 263¹

Step-3: Factors of 33644

List of positive integer factors of 33644 that divides 33644 without a remainder.

1, 2, 4, 13, 26, 52, 647, 1294, 2588, 8411, 16822

Step-4: Factors of 33664

List of positive integer factors of 33664 that divides 33644 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 263, 526, 1052, 2104, 4208, 8416, 16832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33644 and 33664. The biggest common factor number is the GCF number.
So the greatest common factor 33644 and 33664 is 4.

Also check out the Least Common Multiple of 33644 and 33664