What is the Greatest Common Factor of 4560 and 4569?

Greatest common factor (GCF) of 4560 and 4569 is 3.

GCF(4560,4569) = 3

We will now calculate the prime factors of 4560 and 4569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4560 and 4569.

How to find the GCF of 4560 and 4569?

We will first find the prime factorization of 4560 and 4569. After we will calculate the factors of 4560 and 4569 and find the biggest common factor number .

Step-1: Prime Factorization of 4560

Prime factors of 4560 are 2, 3, 5, 19. Prime factorization of 4560 in exponential form is:

4560 = 2⁴ × 3¹ × 5¹ × 19¹

Step-2: Prime Factorization of 4569

Prime factors of 4569 are 3, 1523. Prime factorization of 4569 in exponential form is:

4569 = 3¹ × 1523¹

Step-3: Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280

Step-4: Factors of 4569

List of positive integer factors of 4569 that divides 4560 without a remainder.

1, 3, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4560 and 4569. The biggest common factor number is the GCF number.
So the greatest common factor 4560 and 4569 is 3.

Also check out the Least Common Multiple of 4560 and 4569