What is the Greatest Common Factor of 87206 and 87214?

Greatest common factor (GCF) of 87206 and 87214 is 2.

GCF(87206,87214) = 2

We will now calculate the prime factors of 87206 and 87214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87206 and 87214.

How to find the GCF of 87206 and 87214?

We will first find the prime factorization of 87206 and 87214. After we will calculate the factors of 87206 and 87214 and find the biggest common factor number .

Step-1: Prime Factorization of 87206

Prime factors of 87206 are 2, 7, 6229. Prime factorization of 87206 in exponential form is:

87206 = 2¹ × 7¹ × 6229¹

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 87206

List of positive integer factors of 87206 that divides 87206 without a remainder.

1, 2, 7, 14, 6229, 12458, 43603

Step-4: Factors of 87214

List of positive integer factors of 87214 that divides 87206 without a remainder.

1, 2, 43607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87206 and 87214. The biggest common factor number is the GCF number.
So the greatest common factor 87206 and 87214 is 2.

Also check out the Least Common Multiple of 87206 and 87214