What is the Greatest Common Factor of 4872 and 4886?

Greatest common factor (GCF) of 4872 and 4886 is 14.

GCF(4872,4886) = 14

We will now calculate the prime factors of 4872 and 4886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4872 and 4886.

How to find the GCF of 4872 and 4886?

We will first find the prime factorization of 4872 and 4886. After we will calculate the factors of 4872 and 4886 and find the biggest common factor number .

Step-1: Prime Factorization of 4872

Prime factors of 4872 are 2, 3, 7, 29. Prime factorization of 4872 in exponential form is:

4872 = 2³ × 3¹ × 7¹ × 29¹

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 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436

Step-4: Factors of 4886

List of positive integer factors of 4886 that divides 4872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4872 and 4886. The biggest common factor number is the GCF number.
So the greatest common factor 4872 and 4886 is 14.

Also check out the Least Common Multiple of 4872 and 4886