What is the Greatest Common Factor of 9455 and 9475?

Greatest common factor (GCF) of 9455 and 9475 is 5.

GCF(9455,9475) = 5

We will now calculate the prime factors of 9455 and 9475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9455 and 9475.

How to find the GCF of 9455 and 9475?

We will first find the prime factorization of 9455 and 9475. After we will calculate the factors of 9455 and 9475 and find the biggest common factor number .

Step-1: Prime Factorization of 9455

Prime factors of 9455 are 5, 31, 61. Prime factorization of 9455 in exponential form is:

9455 = 5¹ × 31¹ × 61¹

Step-2: Prime Factorization of 9475

Prime factors of 9475 are 5, 379. Prime factorization of 9475 in exponential form is:

9475 = 5² × 379¹

Step-3: Factors of 9455

List of positive integer factors of 9455 that divides 9455 without a remainder.

1, 5, 31, 61, 155, 305, 1891

Step-4: Factors of 9475

List of positive integer factors of 9475 that divides 9455 without a remainder.

1, 5, 25, 379, 1895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9455 and 9475. The biggest common factor number is the GCF number.
So the greatest common factor 9455 and 9475 is 5.

Also check out the Least Common Multiple of 9455 and 9475