What is the Greatest Common Factor of 87209 and 87214?

Greatest common factor (GCF) of 87209 and 87214 is 1.

GCF(87209,87214) = 1

We will now calculate the prime factors of 87209 and 87214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87209 and 87214.

How to find the GCF of 87209 and 87214?

We will first find the prime factorization of 87209 and 87214. After we will calculate the factors of 87209 and 87214 and find the biggest common factor number .

Step-1: Prime Factorization of 87209

Prime factors of 87209 are 37, 2357. Prime factorization of 87209 in exponential form is:

87209 = 37¹ × 2357¹

Step-2: Prime Factorization of 87214

Prime factors of 87214 are 2, 43607. Prime factorization of 87214 in exponential form is:

87214 = 2¹ × 43607¹

Step-3: Factors of 87209

List of positive integer factors of 87209 that divides 87209 without a remainder.

1, 37, 2357

Step-4: Factors of 87214

List of positive integer factors of 87214 that divides 87209 without a remainder.

1, 2, 43607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87209 and 87214. The biggest common factor number is the GCF number.
So the greatest common factor 87209 and 87214 is 1.

Also check out the Least Common Multiple of 87209 and 87214