What is the Greatest Common Factor of 9540 and 9557?

Greatest common factor (GCF) of 9540 and 9557 is 1.

GCF(9540,9557) = 1

We will now calculate the prime factors of 9540 and 9557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9540 and 9557.

How to find the GCF of 9540 and 9557?

We will first find the prime factorization of 9540 and 9557. After we will calculate the factors of 9540 and 9557 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 9557

Prime factors of 9557 are 19, 503. Prime factorization of 9557 in exponential form is:

9557 = 19¹ × 503¹

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 9557

List of positive integer factors of 9557 that divides 9540 without a remainder.

1, 19, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9540 and 9557. The biggest common factor number is the GCF number.
So the greatest common factor 9540 and 9557 is 1.

Also check out the Least Common Multiple of 9540 and 9557