What is the Greatest Common Factor of 35440 and 35444?

Greatest common factor (GCF) of 35440 and 35444 is 4.

GCF(35440,35444) = 4

We will now calculate the prime factors of 35440 and 35444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35440 and 35444.

How to find the GCF of 35440 and 35444?

We will first find the prime factorization of 35440 and 35444. After we will calculate the factors of 35440 and 35444 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 35444

Prime factors of 35444 are 2, 8861. Prime factorization of 35444 in exponential form is:

35444 = 2² × 8861¹

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 35444

List of positive integer factors of 35444 that divides 35440 without a remainder.

1, 2, 4, 8861, 17722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35440 and 35444. The biggest common factor number is the GCF number.
So the greatest common factor 35440 and 35444 is 4.

Also check out the Least Common Multiple of 35440 and 35444