What is the Greatest Common Factor of 87477 and 87483?

Greatest common factor (GCF) of 87477 and 87483 is 3.

GCF(87477,87483) = 3

We will now calculate the prime factors of 87477 and 87483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87477 and 87483.

How to find the GCF of 87477 and 87483?

We will first find the prime factorization of 87477 and 87483. After we will calculate the factors of 87477 and 87483 and find the biggest common factor number .

Step-1: Prime Factorization of 87477

Prime factors of 87477 are 3, 13, 2243. Prime factorization of 87477 in exponential form is:

87477 = 3¹ × 13¹ × 2243¹

Step-2: Prime Factorization of 87483

Prime factors of 87483 are 3, 11, 241. Prime factorization of 87483 in exponential form is:

87483 = 3¹ × 11² × 241¹

Step-3: Factors of 87477

List of positive integer factors of 87477 that divides 87477 without a remainder.

1, 3, 13, 39, 2243, 6729, 29159

Step-4: Factors of 87483

List of positive integer factors of 87483 that divides 87477 without a remainder.

1, 3, 11, 33, 121, 241, 363, 723, 2651, 7953, 29161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87477 and 87483. The biggest common factor number is the GCF number.
So the greatest common factor 87477 and 87483 is 3.

Also check out the Least Common Multiple of 87477 and 87483