What is the Greatest Common Factor of 35440 and 35450?

Greatest common factor (GCF) of 35440 and 35450 is 10.

GCF(35440,35450) = 10

We will now calculate the prime factors of 35440 and 35450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35440 and 35450.

How to find the GCF of 35440 and 35450?

We will first find the prime factorization of 35440 and 35450. After we will calculate the factors of 35440 and 35450 and find the biggest common factor number .

Step-1: Prime Factorization of 35440

Prime factors of 35440 are 2, 5, 443. Prime factorization of 35440 in exponential form is:

35440 = 2⁴ × 5¹ × 443¹

Step-2: Prime Factorization of 35450

Prime factors of 35450 are 2, 5, 709. Prime factorization of 35450 in exponential form is:

35450 = 2¹ × 5² × 709¹

Step-3: Factors of 35440

List of positive integer factors of 35440 that divides 35440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 443, 886, 1772, 2215, 3544, 4430, 7088, 8860, 17720

Step-4: Factors of 35450

List of positive integer factors of 35450 that divides 35440 without a remainder.

1, 2, 5, 10, 25, 50, 709, 1418, 3545, 7090, 17725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35440 and 35450. The biggest common factor number is the GCF number.
So the greatest common factor 35440 and 35450 is 10.

Also check out the Least Common Multiple of 35440 and 35450