What is the Greatest Common Factor of 33072 and 33088?

Greatest common factor (GCF) of 33072 and 33088 is 16.

GCF(33072,33088) = 16

We will now calculate the prime factors of 33072 and 33088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33072 and 33088.

How to find the GCF of 33072 and 33088?

We will first find the prime factorization of 33072 and 33088. After we will calculate the factors of 33072 and 33088 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 33088

Prime factors of 33088 are 2, 11, 47. Prime factorization of 33088 in exponential form is:

33088 = 2⁶ × 11¹ × 47¹

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 33088

List of positive integer factors of 33088 that divides 33072 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 47, 64, 88, 94, 176, 188, 352, 376, 517, 704, 752, 1034, 1504, 2068, 3008, 4136, 8272, 16544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33072 and 33088. The biggest common factor number is the GCF number.
So the greatest common factor 33072 and 33088 is 16.

Also check out the Least Common Multiple of 33072 and 33088