What is the Greatest Common Factor of 35440 and 35460?

Greatest common factor (GCF) of 35440 and 35460 is 20.

GCF(35440,35460) = 20

We will now calculate the prime factors of 35440 and 35460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35440 and 35460.

How to find the GCF of 35440 and 35460?

We will first find the prime factorization of 35440 and 35460. After we will calculate the factors of 35440 and 35460 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 35460

Prime factors of 35460 are 2, 3, 5, 197. Prime factorization of 35460 in exponential form is:

35460 = 2² × 3² × 5¹ × 197¹

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 35460

List of positive integer factors of 35460 that divides 35440 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 197, 394, 591, 788, 985, 1182, 1773, 1970, 2364, 2955, 3546, 3940, 5910, 7092, 8865, 11820, 17730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35440 and 35460. The biggest common factor number is the GCF number.
So the greatest common factor 35440 and 35460 is 20.

Also check out the Least Common Multiple of 35440 and 35460