What is the Greatest Common Factor of 83481 and 83487?

Greatest common factor (GCF) of 83481 and 83487 is 3.

GCF(83481,83487) = 3

We will now calculate the prime factors of 83481 and 83487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83481 and 83487.

How to find the GCF of 83481 and 83487?

We will first find the prime factorization of 83481 and 83487. After we will calculate the factors of 83481 and 83487 and find the biggest common factor number .

Step-1: Prime Factorization of 83481

Prime factors of 83481 are 3, 27827. Prime factorization of 83481 in exponential form is:

83481 = 3¹ × 27827¹

Step-2: Prime Factorization of 83487

Prime factors of 83487 are 3, 17, 1637. Prime factorization of 83487 in exponential form is:

83487 = 3¹ × 17¹ × 1637¹

Step-3: Factors of 83481

List of positive integer factors of 83481 that divides 83481 without a remainder.

1, 3, 27827

Step-4: Factors of 83487

List of positive integer factors of 83487 that divides 83481 without a remainder.

1, 3, 17, 51, 1637, 4911, 27829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83481 and 83487. The biggest common factor number is the GCF number.
So the greatest common factor 83481 and 83487 is 3.

Also check out the Least Common Multiple of 83481 and 83487