What is the Greatest Common Factor of 33065 and 33072?

Greatest common factor (GCF) of 33065 and 33072 is 1.

GCF(33065,33072) = 1

We will now calculate the prime factors of 33065 and 33072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33065 and 33072.

How to find the GCF of 33065 and 33072?

We will first find the prime factorization of 33065 and 33072. After we will calculate the factors of 33065 and 33072 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 33065

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

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

Step-4: Factors of 33072

List of positive integer factors of 33072 that divides 33065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33065 and 33072. The biggest common factor number is the GCF number.
So the greatest common factor 33065 and 33072 is 1.

Also check out the Least Common Multiple of 33065 and 33072