What is the Greatest Common Factor of 88461 and 88473?

Greatest common factor (GCF) of 88461 and 88473 is 3.

GCF(88461,88473) = 3

We will now calculate the prime factors of 88461 and 88473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88461 and 88473.

How to find the GCF of 88461 and 88473?

We will first find the prime factorization of 88461 and 88473. After we will calculate the factors of 88461 and 88473 and find the biggest common factor number .

Step-1: Prime Factorization of 88461

Prime factors of 88461 are 3, 9829. Prime factorization of 88461 in exponential form is:

88461 = 3² × 9829¹

Step-2: Prime Factorization of 88473

Prime factors of 88473 are 3, 7, 11, 383. Prime factorization of 88473 in exponential form is:

88473 = 3¹ × 7¹ × 11¹ × 383¹

Step-3: Factors of 88461

List of positive integer factors of 88461 that divides 88461 without a remainder.

1, 3, 9, 9829, 29487

Step-4: Factors of 88473

List of positive integer factors of 88473 that divides 88461 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 383, 1149, 2681, 4213, 8043, 12639, 29491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88461 and 88473. The biggest common factor number is the GCF number.
So the greatest common factor 88461 and 88473 is 3.

Also check out the Least Common Multiple of 88461 and 88473