What is the Greatest Common Factor of 3880 and 3894?

Greatest common factor (GCF) of 3880 and 3894 is 2.

GCF(3880,3894) = 2

We will now calculate the prime factors of 3880 and 3894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3880 and 3894.

How to find the GCF of 3880 and 3894?

We will first find the prime factorization of 3880 and 3894. After we will calculate the factors of 3880 and 3894 and find the biggest common factor number .

Step-1: Prime Factorization of 3880

Prime factors of 3880 are 2, 5, 97. Prime factorization of 3880 in exponential form is:

3880 = 2³ × 5¹ × 97¹

Step-2: Prime Factorization of 3894

Prime factors of 3894 are 2, 3, 11, 59. Prime factorization of 3894 in exponential form is:

3894 = 2¹ × 3¹ × 11¹ × 59¹

Step-3: Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940

Step-4: Factors of 3894

List of positive integer factors of 3894 that divides 3880 without a remainder.

1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3880 and 3894. The biggest common factor number is the GCF number.
So the greatest common factor 3880 and 3894 is 2.

Also check out the Least Common Multiple of 3880 and 3894