What is the Greatest Common Factor of 33072 and 33085?

Greatest common factor (GCF) of 33072 and 33085 is 13.

GCF(33072,33085) = 13

We will now calculate the prime factors of 33072 and 33085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33072 and 33085.

How to find the GCF of 33072 and 33085?

We will first find the prime factorization of 33072 and 33085. After we will calculate the factors of 33072 and 33085 and find the biggest common factor number .

Step-1: Prime Factorization of 33072

Prime factors of 33072 are 2, 3, 13, 53. Prime factorization of 33072 in exponential form is:

33072 = 2⁴ × 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 33085

Prime factors of 33085 are 5, 13, 509. Prime factorization of 33085 in exponential form is:

33085 = 5¹ × 13¹ × 509¹

Step-3: Factors of 33072

List of positive integer factors of 33072 that divides 33072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 53, 78, 104, 106, 156, 159, 208, 212, 312, 318, 424, 624, 636, 689, 848, 1272, 1378, 2067, 2544, 2756, 4134, 5512, 8268, 11024, 16536

Step-4: Factors of 33085

List of positive integer factors of 33085 that divides 33072 without a remainder.

1, 5, 13, 65, 509, 2545, 6617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33072 and 33085. The biggest common factor number is the GCF number.
So the greatest common factor 33072 and 33085 is 13.

Also check out the Least Common Multiple of 33072 and 33085