What is the Greatest Common Factor of 33870 and 33880?

Greatest common factor (GCF) of 33870 and 33880 is 10.

GCF(33870,33880) = 10

We will now calculate the prime factors of 33870 and 33880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33870 and 33880.

How to find the GCF of 33870 and 33880?

We will first find the prime factorization of 33870 and 33880. After we will calculate the factors of 33870 and 33880 and find the biggest common factor number .

Step-1: Prime Factorization of 33870

Prime factors of 33870 are 2, 3, 5, 1129. Prime factorization of 33870 in exponential form is:

33870 = 2¹ × 3¹ × 5¹ × 1129¹

Step-2: Prime Factorization of 33880

Prime factors of 33880 are 2, 5, 7, 11. Prime factorization of 33880 in exponential form is:

33880 = 2³ × 5¹ × 7¹ × 11²

Step-3: Factors of 33870

List of positive integer factors of 33870 that divides 33870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1129, 2258, 3387, 5645, 6774, 11290, 16935

Step-4: Factors of 33880

List of positive integer factors of 33880 that divides 33870 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 121, 140, 154, 220, 242, 280, 308, 385, 440, 484, 605, 616, 770, 847, 968, 1210, 1540, 1694, 2420, 3080, 3388, 4235, 4840, 6776, 8470, 16940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33870 and 33880. The biggest common factor number is the GCF number.
So the greatest common factor 33870 and 33880 is 10.

Also check out the Least Common Multiple of 33870 and 33880