What is the Greatest Common Factor of 45424 and 45440?

Greatest common factor (GCF) of 45424 and 45440 is 16.

GCF(45424,45440) = 16

We will now calculate the prime factors of 45424 and 45440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45424 and 45440.

How to find the GCF of 45424 and 45440?

We will first find the prime factorization of 45424 and 45440. After we will calculate the factors of 45424 and 45440 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 45440

Prime factors of 45440 are 2, 5, 71. Prime factorization of 45440 in exponential form is:

45440 = 2⁷ × 5¹ × 71¹

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 45440

List of positive integer factors of 45440 that divides 45424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 71, 80, 128, 142, 160, 284, 320, 355, 568, 640, 710, 1136, 1420, 2272, 2840, 4544, 5680, 9088, 11360, 22720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45424 and 45440. The biggest common factor number is the GCF number.
So the greatest common factor 45424 and 45440 is 16.

Also check out the Least Common Multiple of 45424 and 45440