What is the Greatest Common Factor of 33424 and 33432?

Greatest common factor (GCF) of 33424 and 33432 is 8.

GCF(33424,33432) = 8

We will now calculate the prime factors of 33424 and 33432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33424 and 33432.

How to find the GCF of 33424 and 33432?

We will first find the prime factorization of 33424 and 33432. After we will calculate the factors of 33424 and 33432 and find the biggest common factor number .

Step-1: Prime Factorization of 33424

Prime factors of 33424 are 2, 2089. Prime factorization of 33424 in exponential form is:

33424 = 2⁴ × 2089¹

Step-2: Prime Factorization of 33432

Prime factors of 33432 are 2, 3, 7, 199. Prime factorization of 33432 in exponential form is:

33432 = 2³ × 3¹ × 7¹ × 199¹

Step-3: Factors of 33424

List of positive integer factors of 33424 that divides 33424 without a remainder.

1, 2, 4, 8, 16, 2089, 4178, 8356, 16712

Step-4: Factors of 33432

List of positive integer factors of 33432 that divides 33424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 199, 398, 597, 796, 1194, 1393, 1592, 2388, 2786, 4179, 4776, 5572, 8358, 11144, 16716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33424 and 33432. The biggest common factor number is the GCF number.
So the greatest common factor 33424 and 33432 is 8.

Also check out the Least Common Multiple of 33424 and 33432