What is the Greatest Common Factor of 33847 and 33864?

Greatest common factor (GCF) of 33847 and 33864 is 17.

GCF(33847,33864) = 17

We will now calculate the prime factors of 33847 and 33864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33847 and 33864.

How to find the GCF of 33847 and 33864?

We will first find the prime factorization of 33847 and 33864. After we will calculate the factors of 33847 and 33864 and find the biggest common factor number .

Step-1: Prime Factorization of 33847

Prime factors of 33847 are 11, 17, 181. Prime factorization of 33847 in exponential form is:

33847 = 11¹ × 17¹ × 181¹

Step-2: 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-3: Factors of 33847

List of positive integer factors of 33847 that divides 33847 without a remainder.

1, 11, 17, 181, 187, 1991, 3077

Step-4: Factors of 33864

List of positive integer factors of 33864 that divides 33847 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33847 and 33864. The biggest common factor number is the GCF number.
So the greatest common factor 33847 and 33864 is 17.

Also check out the Least Common Multiple of 33847 and 33864