What is the Greatest Common Factor of 4874 and 4886?

Greatest common factor (GCF) of 4874 and 4886 is 2.

GCF(4874,4886) = 2

We will now calculate the prime factors of 4874 and 4886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4874 and 4886.

How to find the GCF of 4874 and 4886?

We will first find the prime factorization of 4874 and 4886. After we will calculate the factors of 4874 and 4886 and find the biggest common factor number .

Step-1: Prime Factorization of 4874

Prime factors of 4874 are 2, 2437. Prime factorization of 4874 in exponential form is:

4874 = 2¹ × 2437¹

Step-2: Prime Factorization of 4886

Prime factors of 4886 are 2, 7, 349. Prime factorization of 4886 in exponential form is:

4886 = 2¹ × 7¹ × 349¹

Step-3: Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1, 2, 2437

Step-4: Factors of 4886

List of positive integer factors of 4886 that divides 4874 without a remainder.

1, 2, 7, 14, 349, 698, 2443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4874 and 4886. The biggest common factor number is the GCF number.
So the greatest common factor 4874 and 4886 is 2.

Also check out the Least Common Multiple of 4874 and 4886