What is the Greatest Common Factor of 45024 and 45038?

Greatest common factor (GCF) of 45024 and 45038 is 14.

GCF(45024,45038) = 14

We will now calculate the prime factors of 45024 and 45038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45024 and 45038.

How to find the GCF of 45024 and 45038?

We will first find the prime factorization of 45024 and 45038. After we will calculate the factors of 45024 and 45038 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 45038

Prime factors of 45038 are 2, 7, 3217. Prime factorization of 45038 in exponential form is:

45038 = 2¹ × 7¹ × 3217¹

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 45038

List of positive integer factors of 45038 that divides 45024 without a remainder.

1, 2, 7, 14, 3217, 6434, 22519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45024 and 45038. The biggest common factor number is the GCF number.
So the greatest common factor 45024 and 45038 is 14.

Also check out the Least Common Multiple of 45024 and 45038