What is the Greatest Common Factor of 35440 and 35458?

Greatest common factor (GCF) of 35440 and 35458 is 2.

GCF(35440,35458) = 2

We will now calculate the prime factors of 35440 and 35458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35440 and 35458.

How to find the GCF of 35440 and 35458?

We will first find the prime factorization of 35440 and 35458. After we will calculate the factors of 35440 and 35458 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 35458

Prime factors of 35458 are 2, 17729. Prime factorization of 35458 in exponential form is:

35458 = 2¹ × 17729¹

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 35458

List of positive integer factors of 35458 that divides 35440 without a remainder.

1, 2, 17729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35440 and 35458. The biggest common factor number is the GCF number.
So the greatest common factor 35440 and 35458 is 2.

Also check out the Least Common Multiple of 35440 and 35458