What is the Greatest Common Factor of 81464 and 81484?

Greatest common factor (GCF) of 81464 and 81484 is 4.

GCF(81464,81484) = 4

We will now calculate the prime factors of 81464 and 81484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81464 and 81484.

How to find the GCF of 81464 and 81484?

We will first find the prime factorization of 81464 and 81484. After we will calculate the factors of 81464 and 81484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81484

Prime factors of 81484 are 2, 13, 1567. Prime factorization of 81484 in exponential form is:

81484 = 2² × 13¹ × 1567¹

Step-3: Factors of 81464

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

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

Step-4: Factors of 81484

List of positive integer factors of 81484 that divides 81464 without a remainder.

1, 2, 4, 13, 26, 52, 1567, 3134, 6268, 20371, 40742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81464 and 81484. The biggest common factor number is the GCF number.
So the greatest common factor 81464 and 81484 is 4.

Also check out the Least Common Multiple of 81464 and 81484