What is the Greatest Common Factor of 33924 and 33932?

Greatest common factor (GCF) of 33924 and 33932 is 4.

GCF(33924,33932) = 4

We will now calculate the prime factors of 33924 and 33932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33924 and 33932.

How to find the GCF of 33924 and 33932?

We will first find the prime factorization of 33924 and 33932. After we will calculate the factors of 33924 and 33932 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 33932

Prime factors of 33932 are 2, 17, 499. Prime factorization of 33932 in exponential form is:

33932 = 2² × 17¹ × 499¹

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 33932

List of positive integer factors of 33932 that divides 33924 without a remainder.

1, 2, 4, 17, 34, 68, 499, 998, 1996, 8483, 16966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33924 and 33932. The biggest common factor number is the GCF number.
So the greatest common factor 33924 and 33932 is 4.

Also check out the Least Common Multiple of 33924 and 33932