What is the Greatest Common Factor of 4872 and 4880?

Greatest common factor (GCF) of 4872 and 4880 is 8.

GCF(4872,4880) = 8

We will now calculate the prime factors of 4872 and 4880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4872 and 4880.

How to find the GCF of 4872 and 4880?

We will first find the prime factorization of 4872 and 4880. After we will calculate the factors of 4872 and 4880 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 4880

Prime factors of 4880 are 2, 5, 61. Prime factorization of 4880 in exponential form is:

4880 = 2⁴ × 5¹ × 61¹

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 4880

List of positive integer factors of 4880 that divides 4872 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4872 and 4880. The biggest common factor number is the GCF number.
So the greatest common factor 4872 and 4880 is 8.

Also check out the Least Common Multiple of 4872 and 4880