What is the Greatest Common Factor of 33440 and 33460?

Greatest common factor (GCF) of 33440 and 33460 is 20.

GCF(33440,33460) = 20

We will now calculate the prime factors of 33440 and 33460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33440 and 33460.

How to find the GCF of 33440 and 33460?

We will first find the prime factorization of 33440 and 33460. After we will calculate the factors of 33440 and 33460 and find the biggest common factor number .

Step-1: Prime Factorization of 33440

Prime factors of 33440 are 2, 5, 11, 19. Prime factorization of 33440 in exponential form is:

33440 = 2⁵ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 33460

Prime factors of 33460 are 2, 5, 7, 239. Prime factorization of 33460 in exponential form is:

33460 = 2² × 5¹ × 7¹ × 239¹

Step-3: Factors of 33440

List of positive integer factors of 33440 that divides 33440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55, 76, 80, 88, 95, 110, 152, 160, 176, 190, 209, 220, 304, 352, 380, 418, 440, 608, 760, 836, 880, 1045, 1520, 1672, 1760, 2090, 3040, 3344, 4180, 6688, 8360, 16720

Step-4: Factors of 33460

List of positive integer factors of 33460 that divides 33440 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 239, 478, 956, 1195, 1673, 2390, 3346, 4780, 6692, 8365, 16730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33440 and 33460. The biggest common factor number is the GCF number.
So the greatest common factor 33440 and 33460 is 20.

Also check out the Least Common Multiple of 33440 and 33460