What is the Greatest Common Factor of 4845 and 4860?

Greatest common factor (GCF) of 4845 and 4860 is 15.

GCF(4845,4860) = 15

We will now calculate the prime factors of 4845 and 4860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4845 and 4860.

How to find the GCF of 4845 and 4860?

We will first find the prime factorization of 4845 and 4860. After we will calculate the factors of 4845 and 4860 and find the biggest common factor number .

Step-1: Prime Factorization of 4845

Prime factors of 4845 are 3, 5, 17, 19. Prime factorization of 4845 in exponential form is:

4845 = 3¹ × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 4860

Prime factors of 4860 are 2, 3, 5. Prime factorization of 4860 in exponential form is:

4860 = 2² × 3⁵ × 5¹

Step-3: Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615

Step-4: Factors of 4860

List of positive integer factors of 4860 that divides 4845 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4845 and 4860. The biggest common factor number is the GCF number.
So the greatest common factor 4845 and 4860 is 15.

Also check out the Least Common Multiple of 4845 and 4860