What is the Greatest Common Factor of 87188 and 87206?

Greatest common factor (GCF) of 87188 and 87206 is 2.

GCF(87188,87206) = 2

We will now calculate the prime factors of 87188 and 87206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87188 and 87206.

How to find the GCF of 87188 and 87206?

We will first find the prime factorization of 87188 and 87206. After we will calculate the factors of 87188 and 87206 and find the biggest common factor number .

Step-1: Prime Factorization of 87188

Prime factors of 87188 are 2, 71, 307. Prime factorization of 87188 in exponential form is:

87188 = 2² × 71¹ × 307¹

Step-2: 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-3: Factors of 87188

List of positive integer factors of 87188 that divides 87188 without a remainder.

1, 2, 4, 71, 142, 284, 307, 614, 1228, 21797, 43594

Step-4: Factors of 87206

List of positive integer factors of 87206 that divides 87188 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87188 and 87206. The biggest common factor number is the GCF number.
So the greatest common factor 87188 and 87206 is 2.

Also check out the Least Common Multiple of 87188 and 87206