What is the Greatest Common Factor of 87657 and 87666?

Greatest common factor (GCF) of 87657 and 87666 is 3.

GCF(87657,87666) = 3

We will now calculate the prime factors of 87657 and 87666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87657 and 87666.

How to find the GCF of 87657 and 87666?

We will first find the prime factorization of 87657 and 87666. After we will calculate the factors of 87657 and 87666 and find the biggest common factor number .

Step-1: Prime Factorization of 87657

Prime factors of 87657 are 3, 61, 479. Prime factorization of 87657 in exponential form is:

87657 = 3¹ × 61¹ × 479¹

Step-2: 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-3: Factors of 87657

List of positive integer factors of 87657 that divides 87657 without a remainder.

1, 3, 61, 183, 479, 1437, 29219

Step-4: Factors of 87666

List of positive integer factors of 87666 that divides 87657 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87657 and 87666. The biggest common factor number is the GCF number.
So the greatest common factor 87657 and 87666 is 3.

Also check out the Least Common Multiple of 87657 and 87666