What is the Greatest Common Factor of 33072 and 33090?

Greatest common factor (GCF) of 33072 and 33090 is 6.

GCF(33072,33090) = 6

We will now calculate the prime factors of 33072 and 33090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33072 and 33090.

How to find the GCF of 33072 and 33090?

We will first find the prime factorization of 33072 and 33090. After we will calculate the factors of 33072 and 33090 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 33090

Prime factors of 33090 are 2, 3, 5, 1103. Prime factorization of 33090 in exponential form is:

33090 = 2¹ × 3¹ × 5¹ × 1103¹

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 33090

List of positive integer factors of 33090 that divides 33072 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1103, 2206, 3309, 5515, 6618, 11030, 16545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33072 and 33090. The biggest common factor number is the GCF number.
So the greatest common factor 33072 and 33090 is 6.

Also check out the Least Common Multiple of 33072 and 33090