What is the Greatest Common Factor of 81460 and 81475?

Greatest common factor (GCF) of 81460 and 81475 is 5.

GCF(81460,81475) = 5

We will now calculate the prime factors of 81460 and 81475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81460 and 81475.

How to find the GCF of 81460 and 81475?

We will first find the prime factorization of 81460 and 81475. After we will calculate the factors of 81460 and 81475 and find the biggest common factor number .

Step-1: Prime Factorization of 81460

Prime factors of 81460 are 2, 5, 4073. Prime factorization of 81460 in exponential form is:

81460 = 2² × 5¹ × 4073¹

Step-2: Prime Factorization of 81475

Prime factors of 81475 are 5, 3259. Prime factorization of 81475 in exponential form is:

81475 = 5² × 3259¹

Step-3: Factors of 81460

List of positive integer factors of 81460 that divides 81460 without a remainder.

1, 2, 4, 5, 10, 20, 4073, 8146, 16292, 20365, 40730

Step-4: Factors of 81475

List of positive integer factors of 81475 that divides 81460 without a remainder.

1, 5, 25, 3259, 16295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81460 and 81475. The biggest common factor number is the GCF number.
So the greatest common factor 81460 and 81475 is 5.

Also check out the Least Common Multiple of 81460 and 81475