What is the Greatest Common Factor of 81460 and 81464?

Greatest common factor (GCF) of 81460 and 81464 is 4.

GCF(81460,81464) = 4

We will now calculate the prime factors of 81460 and 81464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81460 and 81464.

How to find the GCF of 81460 and 81464?

We will first find the prime factorization of 81460 and 81464. After we will calculate the factors of 81460 and 81464 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 81464

Prime factors of 81464 are 2, 17, 599. Prime factorization of 81464 in exponential form is:

81464 = 2³ × 17¹ × 599¹

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 81464

List of positive integer factors of 81464 that divides 81460 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 599, 1198, 2396, 4792, 10183, 20366, 40732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81460 and 81464. The biggest common factor number is the GCF number.
So the greatest common factor 81460 and 81464 is 4.

Also check out the Least Common Multiple of 81460 and 81464