What is the Greatest Common Factor of 45424 and 45441?

Greatest common factor (GCF) of 45424 and 45441 is 17.

GCF(45424,45441) = 17

We will now calculate the prime factors of 45424 and 45441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45424 and 45441.

How to find the GCF of 45424 and 45441?

We will first find the prime factorization of 45424 and 45441. After we will calculate the factors of 45424 and 45441 and find the biggest common factor number .

Step-1: Prime Factorization of 45424

Prime factors of 45424 are 2, 17, 167. Prime factorization of 45424 in exponential form is:

45424 = 2⁴ × 17¹ × 167¹

Step-2: Prime Factorization of 45441

Prime factors of 45441 are 3, 11, 17. Prime factorization of 45441 in exponential form is:

45441 = 3⁵ × 11¹ × 17¹

Step-3: Factors of 45424

List of positive integer factors of 45424 that divides 45424 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 167, 272, 334, 668, 1336, 2672, 2839, 5678, 11356, 22712

Step-4: Factors of 45441

List of positive integer factors of 45441 that divides 45424 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 81, 99, 153, 187, 243, 297, 459, 561, 891, 1377, 1683, 2673, 4131, 5049, 15147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45424 and 45441. The biggest common factor number is the GCF number.
So the greatest common factor 45424 and 45441 is 17.

Also check out the Least Common Multiple of 45424 and 45441