What is the Greatest Common Factor of 1440 and 1447?

Greatest common factor (GCF) of 1440 and 1447 is 1.

GCF(1440,1447) = 1

We will now calculate the prime factors of 1440 and 1447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1440 and 1447.

How to find the GCF of 1440 and 1447?

We will first find the prime factorization of 1440 and 1447. After we will calculate the factors of 1440 and 1447 and find the biggest common factor number .

Step-1: Prime Factorization of 1440

Prime factors of 1440 are 2, 3, 5. Prime factorization of 1440 in exponential form is:

1440 = 2⁵ × 3² × 5¹

Step-2: Prime Factorization of 1447

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 1447¹

Step-3: Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720

Step-4: Factors of 1447

List of positive integer factors of 1447 that divides 1440 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1440 and 1447. The biggest common factor number is the GCF number.
So the greatest common factor 1440 and 1447 is 1.

Also check out the Least Common Multiple of 1440 and 1447