What is the Greatest Common Factor of 35440 and 35448?

Greatest common factor (GCF) of 35440 and 35448 is 8.

GCF(35440,35448) = 8

We will now calculate the prime factors of 35440 and 35448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35440 and 35448.

How to find the GCF of 35440 and 35448?

We will first find the prime factorization of 35440 and 35448. After we will calculate the factors of 35440 and 35448 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 35448

Prime factors of 35448 are 2, 3, 7, 211. Prime factorization of 35448 in exponential form is:

35448 = 2³ × 3¹ × 7¹ × 211¹

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 35448

List of positive integer factors of 35448 that divides 35440 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 211, 422, 633, 844, 1266, 1477, 1688, 2532, 2954, 4431, 5064, 5908, 8862, 11816, 17724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35440 and 35448. The biggest common factor number is the GCF number.
So the greatest common factor 35440 and 35448 is 8.

Also check out the Least Common Multiple of 35440 and 35448