What is the Greatest Common Factor of 81471 and 81489?

Greatest common factor (GCF) of 81471 and 81489 is 3.

GCF(81471,81489) = 3

We will now calculate the prime factors of 81471 and 81489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81471 and 81489.

How to find the GCF of 81471 and 81489?

We will first find the prime factorization of 81471 and 81489. After we will calculate the factors of 81471 and 81489 and find the biggest common factor number .

Step-1: Prime Factorization of 81471

Prime factors of 81471 are 3, 13, 2089. Prime factorization of 81471 in exponential form is:

81471 = 3¹ × 13¹ × 2089¹

Step-2: Prime Factorization of 81489

Prime factors of 81489 are 3, 23, 1181. Prime factorization of 81489 in exponential form is:

81489 = 3¹ × 23¹ × 1181¹

Step-3: Factors of 81471

List of positive integer factors of 81471 that divides 81471 without a remainder.

1, 3, 13, 39, 2089, 6267, 27157

Step-4: Factors of 81489

List of positive integer factors of 81489 that divides 81471 without a remainder.

1, 3, 23, 69, 1181, 3543, 27163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81471 and 81489. The biggest common factor number is the GCF number.
So the greatest common factor 81471 and 81489 is 3.

Also check out the Least Common Multiple of 81471 and 81489