What is the Greatest Common Factor of 3880 and 3896?

Greatest common factor (GCF) of 3880 and 3896 is 8.

GCF(3880,3896) = 8

We will now calculate the prime factors of 3880 and 3896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3880 and 3896.

How to find the GCF of 3880 and 3896?

We will first find the prime factorization of 3880 and 3896. After we will calculate the factors of 3880 and 3896 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 3896

Prime factors of 3896 are 2, 487. Prime factorization of 3896 in exponential form is:

3896 = 2³ × 487¹

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 3896

List of positive integer factors of 3896 that divides 3880 without a remainder.

1, 2, 4, 8, 487, 974, 1948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3880 and 3896. The biggest common factor number is the GCF number.
So the greatest common factor 3880 and 3896 is 8.

Also check out the Least Common Multiple of 3880 and 3896