What is the Greatest Common Factor of 45440 and 45460?

Greatest common factor (GCF) of 45440 and 45460 is 20.

GCF(45440,45460) = 20

We will now calculate the prime factors of 45440 and 45460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45440 and 45460.

How to find the GCF of 45440 and 45460?

We will first find the prime factorization of 45440 and 45460. After we will calculate the factors of 45440 and 45460 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 45460

Prime factors of 45460 are 2, 5, 2273. Prime factorization of 45460 in exponential form is:

45460 = 2² × 5¹ × 2273¹

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 45460

List of positive integer factors of 45460 that divides 45440 without a remainder.

1, 2, 4, 5, 10, 20, 2273, 4546, 9092, 11365, 22730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45440 and 45460. The biggest common factor number is the GCF number.
So the greatest common factor 45440 and 45460 is 20.

Also check out the Least Common Multiple of 45440 and 45460