What is the Greatest Common Factor of 87298 and 87316?

Greatest common factor (GCF) of 87298 and 87316 is 2.

GCF(87298,87316) = 2

We will now calculate the prime factors of 87298 and 87316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87298 and 87316.

How to find the GCF of 87298 and 87316?

We will first find the prime factorization of 87298 and 87316. After we will calculate the factors of 87298 and 87316 and find the biggest common factor number .

Step-1: Prime Factorization of 87298

Prime factors of 87298 are 2, 43649. Prime factorization of 87298 in exponential form is:

87298 = 2¹ × 43649¹

Step-2: Prime Factorization of 87316

Prime factors of 87316 are 2, 83, 263. Prime factorization of 87316 in exponential form is:

87316 = 2² × 83¹ × 263¹

Step-3: Factors of 87298

List of positive integer factors of 87298 that divides 87298 without a remainder.

1, 2, 43649

Step-4: Factors of 87316

List of positive integer factors of 87316 that divides 87298 without a remainder.

1, 2, 4, 83, 166, 263, 332, 526, 1052, 21829, 43658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87298 and 87316. The biggest common factor number is the GCF number.
So the greatest common factor 87298 and 87316 is 2.

Also check out the Least Common Multiple of 87298 and 87316