What is the Greatest Common Factor of 33864 and 33884?

Greatest common factor (GCF) of 33864 and 33884 is 4.

GCF(33864,33884) = 4

We will now calculate the prime factors of 33864 and 33884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33864 and 33884.

How to find the GCF of 33864 and 33884?

We will first find the prime factorization of 33864 and 33884. After we will calculate the factors of 33864 and 33884 and find the biggest common factor number .

Step-1: Prime Factorization of 33864

Prime factors of 33864 are 2, 3, 17, 83. Prime factorization of 33864 in exponential form is:

33864 = 2³ × 3¹ × 17¹ × 83¹

Step-2: Prime Factorization of 33884

Prime factors of 33884 are 2, 43, 197. Prime factorization of 33884 in exponential form is:

33884 = 2² × 43¹ × 197¹

Step-3: Factors of 33864

List of positive integer factors of 33864 that divides 33864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 83, 102, 136, 166, 204, 249, 332, 408, 498, 664, 996, 1411, 1992, 2822, 4233, 5644, 8466, 11288, 16932

Step-4: Factors of 33884

List of positive integer factors of 33884 that divides 33864 without a remainder.

1, 2, 4, 43, 86, 172, 197, 394, 788, 8471, 16942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33864 and 33884. The biggest common factor number is the GCF number.
So the greatest common factor 33864 and 33884 is 4.

Also check out the Least Common Multiple of 33864 and 33884