What is the Greatest Common Factor of 33292 and 33312?

Greatest common factor (GCF) of 33292 and 33312 is 4.

GCF(33292,33312) = 4

We will now calculate the prime factors of 33292 and 33312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33292 and 33312.

How to find the GCF of 33292 and 33312?

We will first find the prime factorization of 33292 and 33312. After we will calculate the factors of 33292 and 33312 and find the biggest common factor number .

Step-1: Prime Factorization of 33292

Prime factors of 33292 are 2, 7, 29, 41. Prime factorization of 33292 in exponential form is:

33292 = 2² × 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 33312

Prime factors of 33312 are 2, 3, 347. Prime factorization of 33312 in exponential form is:

33312 = 2⁵ × 3¹ × 347¹

Step-3: Factors of 33292

List of positive integer factors of 33292 that divides 33292 without a remainder.

1, 2, 4, 7, 14, 28, 29, 41, 58, 82, 116, 164, 203, 287, 406, 574, 812, 1148, 1189, 2378, 4756, 8323, 16646

Step-4: Factors of 33312

List of positive integer factors of 33312 that divides 33292 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 347, 694, 1041, 1388, 2082, 2776, 4164, 5552, 8328, 11104, 16656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33292 and 33312. The biggest common factor number is the GCF number.
So the greatest common factor 33292 and 33312 is 4.

Also check out the Least Common Multiple of 33292 and 33312