What is the Greatest Common Factor of 87314 and 87322?

Greatest common factor (GCF) of 87314 and 87322 is 2.

GCF(87314,87322) = 2

We will now calculate the prime factors of 87314 and 87322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87314 and 87322.

How to find the GCF of 87314 and 87322?

We will first find the prime factorization of 87314 and 87322. After we will calculate the factors of 87314 and 87322 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87322

Prime factors of 87322 are 2, 43661. Prime factorization of 87322 in exponential form is:

87322 = 2¹ × 43661¹

Step-3: Factors of 87314

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

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

Step-4: Factors of 87322

List of positive integer factors of 87322 that divides 87314 without a remainder.

1, 2, 43661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87314 and 87322. The biggest common factor number is the GCF number.
So the greatest common factor 87314 and 87322 is 2.

Also check out the Least Common Multiple of 87314 and 87322