What is the Greatest Common Factor of 4542 and 4560?

Greatest common factor (GCF) of 4542 and 4560 is 6.

GCF(4542,4560) = 6

We will now calculate the prime factors of 4542 and 4560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4542 and 4560.

How to find the GCF of 4542 and 4560?

We will first find the prime factorization of 4542 and 4560. After we will calculate the factors of 4542 and 4560 and find the biggest common factor number .

Step-1: Prime Factorization of 4542

Prime factors of 4542 are 2, 3, 757. Prime factorization of 4542 in exponential form is:

4542 = 2¹ × 3¹ × 757¹

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 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1, 2, 3, 6, 757, 1514, 2271

Step-4: Factors of 4560

List of positive integer factors of 4560 that divides 4542 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 4542 and 4560. The biggest common factor number is the GCF number.
So the greatest common factor 4542 and 4560 is 6.

Also check out the Least Common Multiple of 4542 and 4560