What is the Greatest Common Factor of 33880 and 33887?

Greatest common factor (GCF) of 33880 and 33887 is 7.

GCF(33880,33887) = 7

We will now calculate the prime factors of 33880 and 33887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33880 and 33887.

How to find the GCF of 33880 and 33887?

We will first find the prime factorization of 33880 and 33887. After we will calculate the factors of 33880 and 33887 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33887

Prime factors of 33887 are 7, 47, 103. Prime factorization of 33887 in exponential form is:

33887 = 7¹ × 47¹ × 103¹

Step-3: Factors of 33880

List of positive integer factors of 33880 that divides 33880 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

Step-4: Factors of 33887

List of positive integer factors of 33887 that divides 33880 without a remainder.

1, 7, 47, 103, 329, 721, 4841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33880 and 33887. The biggest common factor number is the GCF number.
So the greatest common factor 33880 and 33887 is 7.

Also check out the Least Common Multiple of 33880 and 33887