What is the Greatest Common Factor of 45024 and 45033?

Greatest common factor (GCF) of 45024 and 45033 is 3.

GCF(45024,45033) = 3

We will now calculate the prime factors of 45024 and 45033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45024 and 45033.

How to find the GCF of 45024 and 45033?

We will first find the prime factorization of 45024 and 45033. After we will calculate the factors of 45024 and 45033 and find the biggest common factor number .

Step-1: Prime Factorization of 45024

Prime factors of 45024 are 2, 3, 7, 67. Prime factorization of 45024 in exponential form is:

45024 = 2⁵ × 3¹ × 7¹ × 67¹

Step-2: Prime Factorization of 45033

Prime factors of 45033 are 3, 17, 883. Prime factorization of 45033 in exponential form is:

45033 = 3¹ × 17¹ × 883¹

Step-3: Factors of 45024

List of positive integer factors of 45024 that divides 45024 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 67, 84, 96, 112, 134, 168, 201, 224, 268, 336, 402, 469, 536, 672, 804, 938, 1072, 1407, 1608, 1876, 2144, 2814, 3216, 3752, 5628, 6432, 7504, 11256, 15008, 22512

Step-4: Factors of 45033

List of positive integer factors of 45033 that divides 45024 without a remainder.

1, 3, 17, 51, 883, 2649, 15011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45024 and 45033. The biggest common factor number is the GCF number.
So the greatest common factor 45024 and 45033 is 3.

Also check out the Least Common Multiple of 45024 and 45033