What is the Greatest Common Factor of 45004 and 45024?

Greatest common factor (GCF) of 45004 and 45024 is 4.

GCF(45004,45024) = 4

We will now calculate the prime factors of 45004 and 45024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45004 and 45024.

How to find the GCF of 45004 and 45024?

We will first find the prime factorization of 45004 and 45024. After we will calculate the factors of 45004 and 45024 and find the biggest common factor number .

Step-1: Prime Factorization of 45004

Prime factors of 45004 are 2, 11251. Prime factorization of 45004 in exponential form is:

45004 = 2² × 11251¹

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 45004

List of positive integer factors of 45004 that divides 45004 without a remainder.

1, 2, 4, 11251, 22502

Step-4: Factors of 45024

List of positive integer factors of 45024 that divides 45004 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 45004 and 45024. The biggest common factor number is the GCF number.
So the greatest common factor 45004 and 45024 is 4.

Also check out the Least Common Multiple of 45004 and 45024