What is the Greatest Common Factor of 33472 and 33485?

Greatest common factor (GCF) of 33472 and 33485 is 1.

GCF(33472,33485) = 1

We will now calculate the prime factors of 33472 and 33485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33472 and 33485.

How to find the GCF of 33472 and 33485?

We will first find the prime factorization of 33472 and 33485. After we will calculate the factors of 33472 and 33485 and find the biggest common factor number .

Step-1: Prime Factorization of 33472

Prime factors of 33472 are 2, 523. Prime factorization of 33472 in exponential form is:

33472 = 2⁶ × 523¹

Step-2: Prime Factorization of 33485

Prime factors of 33485 are 5, 37, 181. Prime factorization of 33485 in exponential form is:

33485 = 5¹ × 37¹ × 181¹

Step-3: Factors of 33472

List of positive integer factors of 33472 that divides 33472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 523, 1046, 2092, 4184, 8368, 16736

Step-4: Factors of 33485

List of positive integer factors of 33485 that divides 33472 without a remainder.

1, 5, 37, 181, 185, 905, 6697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33472 and 33485. The biggest common factor number is the GCF number.
So the greatest common factor 33472 and 33485 is 1.

Also check out the Least Common Multiple of 33472 and 33485