What is the Greatest Common Factor of 33528 and 33534?

Greatest common factor (GCF) of 33528 and 33534 is 6.

GCF(33528,33534) = 6

We will now calculate the prime factors of 33528 and 33534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33528 and 33534.

How to find the GCF of 33528 and 33534?

We will first find the prime factorization of 33528 and 33534. After we will calculate the factors of 33528 and 33534 and find the biggest common factor number .

Step-1: Prime Factorization of 33528

Prime factors of 33528 are 2, 3, 11, 127. Prime factorization of 33528 in exponential form is:

33528 = 2³ × 3¹ × 11¹ × 127¹

Step-2: Prime Factorization of 33534

Prime factors of 33534 are 2, 3, 23. Prime factorization of 33534 in exponential form is:

33534 = 2¹ × 3⁶ × 23¹

Step-3: Factors of 33528

List of positive integer factors of 33528 that divides 33528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 127, 132, 254, 264, 381, 508, 762, 1016, 1397, 1524, 2794, 3048, 4191, 5588, 8382, 11176, 16764

Step-4: Factors of 33534

List of positive integer factors of 33534 that divides 33528 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 243, 414, 486, 621, 729, 1242, 1458, 1863, 3726, 5589, 11178, 16767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33528 and 33534. The biggest common factor number is the GCF number.
So the greatest common factor 33528 and 33534 is 6.

Also check out the Least Common Multiple of 33528 and 33534