What is the Greatest Common Factor of 87657 and 87663?

Greatest common factor (GCF) of 87657 and 87663 is 3.

GCF(87657,87663) = 3

We will now calculate the prime factors of 87657 and 87663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87657 and 87663.

How to find the GCF of 87657 and 87663?

We will first find the prime factorization of 87657 and 87663. After we will calculate the factors of 87657 and 87663 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 87663

Prime factors of 87663 are 3, 29221. Prime factorization of 87663 in exponential form is:

87663 = 3¹ × 29221¹

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 87663

List of positive integer factors of 87663 that divides 87657 without a remainder.

1, 3, 29221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87657 and 87663. The biggest common factor number is the GCF number.
So the greatest common factor 87657 and 87663 is 3.

Also check out the Least Common Multiple of 87657 and 87663