What is the Greatest Common Factor of 1438 and 1450?

Greatest common factor (GCF) of 1438 and 1450 is 2.

GCF(1438,1450) = 2

We will now calculate the prime factors of 1438 and 1450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1438 and 1450.

How to find the GCF of 1438 and 1450?

We will first find the prime factorization of 1438 and 1450. After we will calculate the factors of 1438 and 1450 and find the biggest common factor number .

Step-1: Prime Factorization of 1438

Prime factors of 1438 are 2, 719. Prime factorization of 1438 in exponential form is:

1438 = 2¹ × 719¹

Step-2: Prime Factorization of 1450

Prime factors of 1450 are 2, 5, 29. Prime factorization of 1450 in exponential form is:

1450 = 2¹ × 5² × 29¹

Step-3: Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1, 2, 719

Step-4: Factors of 1450

List of positive integer factors of 1450 that divides 1438 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1438 and 1450. The biggest common factor number is the GCF number.
So the greatest common factor 1438 and 1450 is 2.

Also check out the Least Common Multiple of 1438 and 1450