What is the Greatest Common Factor of 87666 and 87681?

Greatest common factor (GCF) of 87666 and 87681 is 3.

GCF(87666,87681) = 3

We will now calculate the prime factors of 87666 and 87681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87666 and 87681.

How to find the GCF of 87666 and 87681?

We will first find the prime factorization of 87666 and 87681. After we will calculate the factors of 87666 and 87681 and find the biggest common factor number .

Step-1: Prime Factorization of 87666

Prime factors of 87666 are 2, 3, 19, 769. Prime factorization of 87666 in exponential form is:

87666 = 2¹ × 3¹ × 19¹ × 769¹

Step-2: Prime Factorization of 87681

Prime factors of 87681 are 3, 11, 2657. Prime factorization of 87681 in exponential form is:

87681 = 3¹ × 11¹ × 2657¹

Step-3: Factors of 87666

List of positive integer factors of 87666 that divides 87666 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 769, 1538, 2307, 4614, 14611, 29222, 43833

Step-4: Factors of 87681

List of positive integer factors of 87681 that divides 87666 without a remainder.

1, 3, 11, 33, 2657, 7971, 29227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87666 and 87681. The biggest common factor number is the GCF number.
So the greatest common factor 87666 and 87681 is 3.

Also check out the Least Common Multiple of 87666 and 87681