What is the Greatest Common Factor of 33028 and 33048?

Greatest common factor (GCF) of 33028 and 33048 is 4.

GCF(33028,33048) = 4

We will now calculate the prime factors of 33028 and 33048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33028 and 33048.

How to find the GCF of 33028 and 33048?

We will first find the prime factorization of 33028 and 33048. After we will calculate the factors of 33028 and 33048 and find the biggest common factor number .

Step-1: Prime Factorization of 33028

Prime factors of 33028 are 2, 23, 359. Prime factorization of 33028 in exponential form is:

33028 = 2² × 23¹ × 359¹

Step-2: 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-3: Factors of 33028

List of positive integer factors of 33028 that divides 33028 without a remainder.

1, 2, 4, 23, 46, 92, 359, 718, 1436, 8257, 16514

Step-4: Factors of 33048

List of positive integer factors of 33048 that divides 33028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33028 and 33048. The biggest common factor number is the GCF number.
So the greatest common factor 33028 and 33048 is 4.

Also check out the Least Common Multiple of 33028 and 33048