What is the Greatest Common Factor of 33924 and 33943?

Greatest common factor (GCF) of 33924 and 33943 is 1.

GCF(33924,33943) = 1

We will now calculate the prime factors of 33924 and 33943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33924 and 33943.

How to find the GCF of 33924 and 33943?

We will first find the prime factorization of 33924 and 33943. After we will calculate the factors of 33924 and 33943 and find the biggest common factor number .

Step-1: Prime Factorization of 33924

Prime factors of 33924 are 2, 3, 11, 257. Prime factorization of 33924 in exponential form is:

33924 = 2² × 3¹ × 11¹ × 257¹

Step-2: Prime Factorization of 33943

Prime factors of 33943 are 7, 13, 373. Prime factorization of 33943 in exponential form is:

33943 = 7¹ × 13¹ × 373¹

Step-3: Factors of 33924

List of positive integer factors of 33924 that divides 33924 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 257, 514, 771, 1028, 1542, 2827, 3084, 5654, 8481, 11308, 16962

Step-4: Factors of 33943

List of positive integer factors of 33943 that divides 33924 without a remainder.

1, 7, 13, 91, 373, 2611, 4849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33924 and 33943. The biggest common factor number is the GCF number.
So the greatest common factor 33924 and 33943 is 1.

Also check out the Least Common Multiple of 33924 and 33943