What is the Greatest Common Factor of 1445 and 1450?

Greatest common factor (GCF) of 1445 and 1450 is 5.

GCF(1445,1450) = 5

We will now calculate the prime factors of 1445 and 1450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1445 and 1450.

How to find the GCF of 1445 and 1450?

We will first find the prime factorization of 1445 and 1450. After we will calculate the factors of 1445 and 1450 and find the biggest common factor number .

Step-1: Prime Factorization of 1445

Prime factors of 1445 are 5, 17. Prime factorization of 1445 in exponential form is:

1445 = 5¹ × 17²

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 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1, 5, 17, 85, 289

Step-4: Factors of 1450

List of positive integer factors of 1450 that divides 1445 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 1445 and 1450. The biggest common factor number is the GCF number.
So the greatest common factor 1445 and 1450 is 5.

Also check out the Least Common Multiple of 1445 and 1450