What is the Greatest Common Factor of 87298 and 87314?

Greatest common factor (GCF) of 87298 and 87314 is 2.

GCF(87298,87314) = 2

We will now calculate the prime factors of 87298 and 87314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87298 and 87314.

How to find the GCF of 87298 and 87314?

We will first find the prime factorization of 87298 and 87314. After we will calculate the factors of 87298 and 87314 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 87314

Prime factors of 87314 are 2, 149, 293. Prime factorization of 87314 in exponential form is:

87314 = 2¹ × 149¹ × 293¹

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 87314

List of positive integer factors of 87314 that divides 87298 without a remainder.

1, 2, 149, 293, 298, 586, 43657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87298 and 87314. The biggest common factor number is the GCF number.
So the greatest common factor 87298 and 87314 is 2.

Also check out the Least Common Multiple of 87298 and 87314