GCF and LCM Calculator Logo

What is the Greatest Common Factor of 45009 and 45024?

Greatest common factor (GCF) of 45009 and 45024 is 3.

GCF(45009,45024) = 3

We will now calculate the prime factors of 45009 and 45024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45009 and 45024.

GCF Calculator and
and

How to find the GCF of 45009 and 45024?

We will first find the prime factorization of 45009 and 45024. After we will calculate the factors of 45009 and 45024 and find the biggest common factor number .

Step-1: Prime Factorization of 45009

Prime factors of 45009 are 3, 1667. Prime factorization of 45009 in exponential form is:

45009 = 33 × 16671

Step-2: 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-3: Factors of 45009

List of positive integer factors of 45009 that divides 45009 without a remainder.

1, 3, 9, 27, 1667, 5001, 15003

Step-4: Factors of 45024

List of positive integer factors of 45024 that divides 45009 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45009 and 45024. The biggest common factor number is the GCF number.
So the greatest common factor 45009 and 45024 is 3.

Also check out the Least Common Multiple of 45009 and 45024