What is the Greatest Common Factor of 87486 and 87501?

Greatest common factor (GCF) of 87486 and 87501 is 3.

GCF(87486,87501) = 3

We will now calculate the prime factors of 87486 and 87501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87486 and 87501.

How to find the GCF of 87486 and 87501?

We will first find the prime factorization of 87486 and 87501. After we will calculate the factors of 87486 and 87501 and find the biggest common factor number .

Step-1: Prime Factorization of 87486

Prime factors of 87486 are 2, 3, 7, 2083. Prime factorization of 87486 in exponential form is:

87486 = 2¹ × 3¹ × 7¹ × 2083¹

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 87486

List of positive integer factors of 87486 that divides 87486 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2083, 4166, 6249, 12498, 14581, 29162, 43743

Step-4: Factors of 87501

List of positive integer factors of 87501 that divides 87486 without a remainder.

1, 3, 29167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87486 and 87501. The biggest common factor number is the GCF number.
So the greatest common factor 87486 and 87501 is 3.

Also check out the Least Common Multiple of 87486 and 87501