What is the Greatest Common Factor of 4540 and 4560?

Greatest common factor (GCF) of 4540 and 4560 is 20.

GCF(4540,4560) = 20

We will now calculate the prime factors of 4540 and 4560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4540 and 4560.

How to find the GCF of 4540 and 4560?

We will first find the prime factorization of 4540 and 4560. After we will calculate the factors of 4540 and 4560 and find the biggest common factor number .

Step-1: Prime Factorization of 4540

Prime factors of 4540 are 2, 5, 227. Prime factorization of 4540 in exponential form is:

4540 = 2² × 5¹ × 227¹

Step-2: 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-3: Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270

Step-4: Factors of 4560

List of positive integer factors of 4560 that divides 4540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4540 and 4560. The biggest common factor number is the GCF number.
So the greatest common factor 4540 and 4560 is 20.

Also check out the Least Common Multiple of 4540 and 4560