What is the Greatest Common Factor of 45024 and 45029?

Greatest common factor (GCF) of 45024 and 45029 is 1.

GCF(45024,45029) = 1

We will now calculate the prime factors of 45024 and 45029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45024 and 45029.

How to find the GCF of 45024 and 45029?

We will first find the prime factorization of 45024 and 45029. After we will calculate the factors of 45024 and 45029 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 45029

Prime factors of 45029 are 37, 1217. Prime factorization of 45029 in exponential form is:

45029 = 37¹ × 1217¹

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 45029

List of positive integer factors of 45029 that divides 45024 without a remainder.

1, 37, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45024 and 45029. The biggest common factor number is the GCF number.
So the greatest common factor 45024 and 45029 is 1.

Also check out the Least Common Multiple of 45024 and 45029