What is the Greatest Common Factor of 9455 and 9460?

Greatest common factor (GCF) of 9455 and 9460 is 5.

GCF(9455,9460) = 5

We will now calculate the prime factors of 9455 and 9460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9455 and 9460.

How to find the GCF of 9455 and 9460?

We will first find the prime factorization of 9455 and 9460. After we will calculate the factors of 9455 and 9460 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 9460

Prime factors of 9460 are 2, 5, 11, 43. Prime factorization of 9460 in exponential form is:

9460 = 2² × 5¹ × 11¹ × 43¹

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 9460

List of positive integer factors of 9460 that divides 9455 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9455 and 9460. The biggest common factor number is the GCF number.
So the greatest common factor 9455 and 9460 is 5.

Also check out the Least Common Multiple of 9455 and 9460