What is the Greatest Common Factor of 87489 and 87501?

Greatest common factor (GCF) of 87489 and 87501 is 3.

GCF(87489,87501) = 3

We will now calculate the prime factors of 87489 and 87501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87489 and 87501.

How to find the GCF of 87489 and 87501?

We will first find the prime factorization of 87489 and 87501. After we will calculate the factors of 87489 and 87501 and find the biggest common factor number .

Step-1: Prime Factorization of 87489

Prime factors of 87489 are 3, 9721. Prime factorization of 87489 in exponential form is:

87489 = 3² × 9721¹

Step-2: Prime Factorization of 87501

Prime factors of 87501 are 3, 29167. Prime factorization of 87501 in exponential form is:

87501 = 3¹ × 29167¹

Step-3: Factors of 87489

List of positive integer factors of 87489 that divides 87489 without a remainder.

1, 3, 9, 9721, 29163

Step-4: Factors of 87501

List of positive integer factors of 87501 that divides 87489 without a remainder.

1, 3, 29167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87489 and 87501. The biggest common factor number is the GCF number.
So the greatest common factor 87489 and 87501 is 3.

Also check out the Least Common Multiple of 87489 and 87501