What is the Greatest Common Factor of 9552 and 9565?

Greatest common factor (GCF) of 9552 and 9565 is 1.

GCF(9552,9565) = 1

We will now calculate the prime factors of 9552 and 9565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9552 and 9565.

How to find the GCF of 9552 and 9565?

We will first find the prime factorization of 9552 and 9565. After we will calculate the factors of 9552 and 9565 and find the biggest common factor number .

Step-1: Prime Factorization of 9552

Prime factors of 9552 are 2, 3, 199. Prime factorization of 9552 in exponential form is:

9552 = 2⁴ × 3¹ × 199¹

Step-2: Prime Factorization of 9565

Prime factors of 9565 are 5, 1913. Prime factorization of 9565 in exponential form is:

9565 = 5¹ × 1913¹

Step-3: Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776

Step-4: Factors of 9565

List of positive integer factors of 9565 that divides 9552 without a remainder.

1, 5, 1913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9552 and 9565. The biggest common factor number is the GCF number.
So the greatest common factor 9552 and 9565 is 1.

Also check out the Least Common Multiple of 9552 and 9565