What is the Greatest Common Factor of 9538 and 9557?

Greatest common factor (GCF) of 9538 and 9557 is 19.

GCF(9538,9557) = 19

We will now calculate the prime factors of 9538 and 9557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9538 and 9557.

How to find the GCF of 9538 and 9557?

We will first find the prime factorization of 9538 and 9557. After we will calculate the factors of 9538 and 9557 and find the biggest common factor number .

Step-1: Prime Factorization of 9538

Prime factors of 9538 are 2, 19, 251. Prime factorization of 9538 in exponential form is:

9538 = 2¹ × 19¹ × 251¹

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 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1, 2, 19, 38, 251, 502, 4769

Step-4: Factors of 9557

List of positive integer factors of 9557 that divides 9538 without a remainder.

1, 19, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9538 and 9557. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9557 is 19.

Also check out the Least Common Multiple of 9538 and 9557