What is the Greatest Common Factor of 4858 and 4872?

Greatest common factor (GCF) of 4858 and 4872 is 14.

GCF(4858,4872) = 14

We will now calculate the prime factors of 4858 and 4872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4858 and 4872.

How to find the GCF of 4858 and 4872?

We will first find the prime factorization of 4858 and 4872. After we will calculate the factors of 4858 and 4872 and find the biggest common factor number .

Step-1: Prime Factorization of 4858

Prime factors of 4858 are 2, 7, 347. Prime factorization of 4858 in exponential form is:

4858 = 2¹ × 7¹ × 347¹

Step-2: 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-3: Factors of 4858

List of positive integer factors of 4858 that divides 4858 without a remainder.

1, 2, 7, 14, 347, 694, 2429

Step-4: Factors of 4872

List of positive integer factors of 4872 that divides 4858 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4858 and 4872. The biggest common factor number is the GCF number.
So the greatest common factor 4858 and 4872 is 14.

Also check out the Least Common Multiple of 4858 and 4872