What is the Greatest Common Factor of 9452 and 9469?

Greatest common factor (GCF) of 9452 and 9469 is 17.

GCF(9452,9469) = 17

We will now calculate the prime factors of 9452 and 9469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9452 and 9469.

How to find the GCF of 9452 and 9469?

We will first find the prime factorization of 9452 and 9469. After we will calculate the factors of 9452 and 9469 and find the biggest common factor number .

Step-1: Prime Factorization of 9452

Prime factors of 9452 are 2, 17, 139. Prime factorization of 9452 in exponential form is:

9452 = 2² × 17¹ × 139¹

Step-2: Prime Factorization of 9469

Prime factors of 9469 are 17, 557. Prime factorization of 9469 in exponential form is:

9469 = 17¹ × 557¹

Step-3: Factors of 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726

Step-4: Factors of 9469

List of positive integer factors of 9469 that divides 9452 without a remainder.

1, 17, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9452 and 9469. The biggest common factor number is the GCF number.
So the greatest common factor 9452 and 9469 is 17.

Also check out the Least Common Multiple of 9452 and 9469