What is the Greatest Common Factor of 45344 and 45360?

Greatest common factor (GCF) of 45344 and 45360 is 16.

GCF(45344,45360) = 16

We will now calculate the prime factors of 45344 and 45360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45344 and 45360.

How to find the GCF of 45344 and 45360?

We will first find the prime factorization of 45344 and 45360. After we will calculate the factors of 45344 and 45360 and find the biggest common factor number .

Step-1: Prime Factorization of 45344

Prime factors of 45344 are 2, 13, 109. Prime factorization of 45344 in exponential form is:

45344 = 2⁵ × 13¹ × 109¹

Step-2: Prime Factorization of 45360

Prime factors of 45360 are 2, 3, 5, 7. Prime factorization of 45360 in exponential form is:

45360 = 2⁴ × 3⁴ × 5¹ × 7¹

Step-3: Factors of 45344

List of positive integer factors of 45344 that divides 45344 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 109, 208, 218, 416, 436, 872, 1417, 1744, 2834, 3488, 5668, 11336, 22672

Step-4: Factors of 45360

List of positive integer factors of 45360 that divides 45344 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 81, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 162, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 324, 336, 360, 378, 405, 420, 432, 504, 540, 560, 567, 630, 648, 720, 756, 810, 840, 945, 1008, 1080, 1134, 1260, 1296, 1512, 1620, 1680, 1890, 2160, 2268, 2520, 2835, 3024, 3240, 3780, 4536, 5040, 5670, 6480, 7560, 9072, 11340, 15120, 22680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45344 and 45360. The biggest common factor number is the GCF number.
So the greatest common factor 45344 and 45360 is 16.

Also check out the Least Common Multiple of 45344 and 45360