What is the Greatest Common Factor of 33664 and 33673?

Greatest common factor (GCF) of 33664 and 33673 is 1.

GCF(33664,33673) = 1

We will now calculate the prime factors of 33664 and 33673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33664 and 33673.

How to find the GCF of 33664 and 33673?

We will first find the prime factorization of 33664 and 33673. After we will calculate the factors of 33664 and 33673 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 33673

Prime factors of 33673 are 151, 223. Prime factorization of 33673 in exponential form is:

33673 = 151¹ × 223¹

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 33673

List of positive integer factors of 33673 that divides 33664 without a remainder.

1, 151, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33664 and 33673. The biggest common factor number is the GCF number.
So the greatest common factor 33664 and 33673 is 1.

Also check out the Least Common Multiple of 33664 and 33673