What is the Greatest Common Factor of 35440 and 35445?

Greatest common factor (GCF) of 35440 and 35445 is 5.

GCF(35440,35445) = 5

We will now calculate the prime factors of 35440 and 35445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35440 and 35445.

How to find the GCF of 35440 and 35445?

We will first find the prime factorization of 35440 and 35445. After we will calculate the factors of 35440 and 35445 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 35445

Prime factors of 35445 are 3, 5, 17, 139. Prime factorization of 35445 in exponential form is:

35445 = 3¹ × 5¹ × 17¹ × 139¹

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 35445

List of positive integer factors of 35445 that divides 35440 without a remainder.

1, 3, 5, 15, 17, 51, 85, 139, 255, 417, 695, 2085, 2363, 7089, 11815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35440 and 35445. The biggest common factor number is the GCF number.
So the greatest common factor 35440 and 35445 is 5.

Also check out the Least Common Multiple of 35440 and 35445