What is the Greatest Common Factor of 9538 and 9554?

Greatest common factor (GCF) of 9538 and 9554 is 2.

GCF(9538,9554) = 2

We will now calculate the prime factors of 9538 and 9554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9538 and 9554.

How to find the GCF of 9538 and 9554?

We will first find the prime factorization of 9538 and 9554. After we will calculate the factors of 9538 and 9554 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 9554

Prime factors of 9554 are 2, 17, 281. Prime factorization of 9554 in exponential form is:

9554 = 2¹ × 17¹ × 281¹

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 9554

List of positive integer factors of 9554 that divides 9538 without a remainder.

1, 2, 17, 34, 281, 562, 4777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9538 and 9554. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9554 is 2.

Also check out the Least Common Multiple of 9538 and 9554