What is the Greatest Common Factor of 33664 and 33672?

Greatest common factor (GCF) of 33664 and 33672 is 8.

GCF(33664,33672) = 8

We will now calculate the prime factors of 33664 and 33672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33664 and 33672.

How to find the GCF of 33664 and 33672?

We will first find the prime factorization of 33664 and 33672. After we will calculate the factors of 33664 and 33672 and find the biggest common factor number .

Step-1: Prime Factorization of 33664

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

33664 = 2⁷ × 263¹

Step-2: Prime Factorization of 33672

Prime factors of 33672 are 2, 3, 23, 61. Prime factorization of 33672 in exponential form is:

33672 = 2³ × 3¹ × 23¹ × 61¹

Step-3: Factors of 33664

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

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

Step-4: Factors of 33672

List of positive integer factors of 33672 that divides 33664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 61, 69, 92, 122, 138, 183, 184, 244, 276, 366, 488, 552, 732, 1403, 1464, 2806, 4209, 5612, 8418, 11224, 16836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33664 and 33672. The biggest common factor number is the GCF number.
So the greatest common factor 33664 and 33672 is 8.

Also check out the Least Common Multiple of 33664 and 33672