What is the Greatest Common Factor of 1425 and 1444?

Greatest common factor (GCF) of 1425 and 1444 is 19.

GCF(1425,1444) = 19

We will now calculate the prime factors of 1425 and 1444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1425 and 1444.

How to find the GCF of 1425 and 1444?

We will first find the prime factorization of 1425 and 1444. After we will calculate the factors of 1425 and 1444 and find the biggest common factor number .

Step-1: Prime Factorization of 1425

Prime factors of 1425 are 3, 5, 19. Prime factorization of 1425 in exponential form is:

1425 = 3¹ × 5² × 19¹

Step-2: Prime Factorization of 1444

Prime factors of 1444 are 2, 19. Prime factorization of 1444 in exponential form is:

1444 = 2² × 19²

Step-3: Factors of 1425

List of positive integer factors of 1425 that divides 1425 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475

Step-4: Factors of 1444

List of positive integer factors of 1444 that divides 1425 without a remainder.

1, 2, 4, 19, 38, 76, 361, 722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1425 and 1444. The biggest common factor number is the GCF number.
So the greatest common factor 1425 and 1444 is 19.

Also check out the Least Common Multiple of 1425 and 1444