What is the Greatest Common Factor of 1426 and 1440?

Greatest common factor (GCF) of 1426 and 1440 is 2.

GCF(1426,1440) = 2

We will now calculate the prime factors of 1426 and 1440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1426 and 1440.

How to find the GCF of 1426 and 1440?

We will first find the prime factorization of 1426 and 1440. After we will calculate the factors of 1426 and 1440 and find the biggest common factor number .

Step-1: Prime Factorization of 1426

Prime factors of 1426 are 2, 23, 31. Prime factorization of 1426 in exponential form is:

1426 = 2¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1, 2, 23, 31, 46, 62, 713

Step-4: Factors of 1440

List of positive integer factors of 1440 that divides 1426 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1426 and 1440. The biggest common factor number is the GCF number.
So the greatest common factor 1426 and 1440 is 2.

Also check out the Least Common Multiple of 1426 and 1440