What is the Greatest Common Factor of 33048 and 33065?

Greatest common factor (GCF) of 33048 and 33065 is 17.

GCF(33048,33065) = 17

We will now calculate the prime factors of 33048 and 33065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33048 and 33065.

How to find the GCF of 33048 and 33065?

We will first find the prime factorization of 33048 and 33065. After we will calculate the factors of 33048 and 33065 and find the biggest common factor number .

Step-1: Prime Factorization of 33048

Prime factors of 33048 are 2, 3, 17. Prime factorization of 33048 in exponential form is:

33048 = 2³ × 3⁵ × 17¹

Step-2: Prime Factorization of 33065

Prime factors of 33065 are 5, 17, 389. Prime factorization of 33065 in exponential form is:

33065 = 5¹ × 17¹ × 389¹

Step-3: Factors of 33048

List of positive integer factors of 33048 that divides 33048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 81, 102, 108, 136, 153, 162, 204, 216, 243, 306, 324, 408, 459, 486, 612, 648, 918, 972, 1224, 1377, 1836, 1944, 2754, 3672, 4131, 5508, 8262, 11016, 16524

Step-4: Factors of 33065

List of positive integer factors of 33065 that divides 33048 without a remainder.

1, 5, 17, 85, 389, 1945, 6613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33048 and 33065. The biggest common factor number is the GCF number.
So the greatest common factor 33048 and 33065 is 17.

Also check out the Least Common Multiple of 33048 and 33065