What is the Greatest Common Factor of 33880 and 33897?

Greatest common factor (GCF) of 33880 and 33897 is 1.

GCF(33880,33897) = 1

We will now calculate the prime factors of 33880 and 33897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33880 and 33897.

How to find the GCF of 33880 and 33897?

We will first find the prime factorization of 33880 and 33897. After we will calculate the factors of 33880 and 33897 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 33897

Prime factors of 33897 are 3, 11299. Prime factorization of 33897 in exponential form is:

33897 = 3¹ × 11299¹

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 33897

List of positive integer factors of 33897 that divides 33880 without a remainder.

1, 3, 11299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33880 and 33897. The biggest common factor number is the GCF number.
So the greatest common factor 33880 and 33897 is 1.

Also check out the Least Common Multiple of 33880 and 33897