What is the Greatest Common Factor of 4908 and 4912?

Greatest common factor (GCF) of 4908 and 4912 is 4.

GCF(4908,4912) = 4

We will now calculate the prime factors of 4908 and 4912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4908 and 4912.

How to find the GCF of 4908 and 4912?

We will first find the prime factorization of 4908 and 4912. After we will calculate the factors of 4908 and 4912 and find the biggest common factor number .

Step-1: Prime Factorization of 4908

Prime factors of 4908 are 2, 3, 409. Prime factorization of 4908 in exponential form is:

4908 = 2² × 3¹ × 409¹

Step-2: Prime Factorization of 4912

Prime factors of 4912 are 2, 307. Prime factorization of 4912 in exponential form is:

4912 = 2⁴ × 307¹

Step-3: Factors of 4908

List of positive integer factors of 4908 that divides 4908 without a remainder.

1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454

Step-4: Factors of 4912

List of positive integer factors of 4912 that divides 4908 without a remainder.

1, 2, 4, 8, 16, 307, 614, 1228, 2456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4908 and 4912. The biggest common factor number is the GCF number.
So the greatest common factor 4908 and 4912 is 4.

Also check out the Least Common Multiple of 4908 and 4912