What is the Greatest Common Factor of 9540 and 9545?

Greatest common factor (GCF) of 9540 and 9545 is 5.

GCF(9540,9545) = 5

We will now calculate the prime factors of 9540 and 9545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9540 and 9545.

How to find the GCF of 9540 and 9545?

We will first find the prime factorization of 9540 and 9545. After we will calculate the factors of 9540 and 9545 and find the biggest common factor number .

Step-1: Prime Factorization of 9540

Prime factors of 9540 are 2, 3, 5, 53. Prime factorization of 9540 in exponential form is:

9540 = 2² × 3² × 5¹ × 53¹

Step-2: Prime Factorization of 9545

Prime factors of 9545 are 5, 23, 83. Prime factorization of 9545 in exponential form is:

9545 = 5¹ × 23¹ × 83¹

Step-3: Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770

Step-4: Factors of 9545

List of positive integer factors of 9545 that divides 9540 without a remainder.

1, 5, 23, 83, 115, 415, 1909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9540 and 9545. The biggest common factor number is the GCF number.
So the greatest common factor 9540 and 9545 is 5.

Also check out the Least Common Multiple of 9540 and 9545