What is the Greatest Common Factor of 45440 and 45456?

Greatest common factor (GCF) of 45440 and 45456 is 16.

GCF(45440,45456) = 16

We will now calculate the prime factors of 45440 and 45456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45440 and 45456.

How to find the GCF of 45440 and 45456?

We will first find the prime factorization of 45440 and 45456. After we will calculate the factors of 45440 and 45456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45456

Prime factors of 45456 are 2, 3, 947. Prime factorization of 45456 in exponential form is:

45456 = 2⁴ × 3¹ × 947¹

Step-3: Factors of 45440

List of positive integer factors of 45440 that divides 45440 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

Step-4: Factors of 45456

List of positive integer factors of 45456 that divides 45440 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 947, 1894, 2841, 3788, 5682, 7576, 11364, 15152, 22728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45440 and 45456. The biggest common factor number is the GCF number.
So the greatest common factor 45440 and 45456 is 16.

Also check out the Least Common Multiple of 45440 and 45456