What is the Greatest Common Factor of 9485 and 9499?

Greatest common factor (GCF) of 9485 and 9499 is 7.

GCF(9485,9499) = 7

We will now calculate the prime factors of 9485 and 9499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9485 and 9499.

How to find the GCF of 9485 and 9499?

We will first find the prime factorization of 9485 and 9499. After we will calculate the factors of 9485 and 9499 and find the biggest common factor number .

Step-1: Prime Factorization of 9485

Prime factors of 9485 are 5, 7, 271. Prime factorization of 9485 in exponential form is:

9485 = 5¹ × 7¹ × 271¹

Step-2: Prime Factorization of 9499

Prime factors of 9499 are 7, 23, 59. Prime factorization of 9499 in exponential form is:

9499 = 7¹ × 23¹ × 59¹

Step-3: Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1, 5, 7, 35, 271, 1355, 1897

Step-4: Factors of 9499

List of positive integer factors of 9499 that divides 9485 without a remainder.

1, 7, 23, 59, 161, 413, 1357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9485 and 9499. The biggest common factor number is the GCF number.
So the greatest common factor 9485 and 9499 is 7.

Also check out the Least Common Multiple of 9485 and 9499