What is the Greatest Common Factor of 9538 and 9545?

Greatest common factor (GCF) of 9538 and 9545 is 1.

GCF(9538,9545) = 1

We will now calculate the prime factors of 9538 and 9545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9538 and 9545.

How to find the GCF of 9538 and 9545?

We will first find the prime factorization of 9538 and 9545. After we will calculate the factors of 9538 and 9545 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 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 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 9545

List of positive integer factors of 9545 that divides 9538 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9538 and 9545. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9545 is 1.

Also check out the Least Common Multiple of 9538 and 9545