What is the Greatest Common Factor of 87198 and 87206?

Greatest common factor (GCF) of 87198 and 87206 is 2.

GCF(87198,87206) = 2

We will now calculate the prime factors of 87198 and 87206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87198 and 87206.

How to find the GCF of 87198 and 87206?

We will first find the prime factorization of 87198 and 87206. After we will calculate the factors of 87198 and 87206 and find the biggest common factor number .

Step-1: Prime Factorization of 87198

Prime factors of 87198 are 2, 3, 14533. Prime factorization of 87198 in exponential form is:

87198 = 2¹ × 3¹ × 14533¹

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 87198

List of positive integer factors of 87198 that divides 87198 without a remainder.

1, 2, 3, 6, 14533, 29066, 43599

Step-4: Factors of 87206

List of positive integer factors of 87206 that divides 87198 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87198 and 87206. The biggest common factor number is the GCF number.
So the greatest common factor 87198 and 87206 is 2.

Also check out the Least Common Multiple of 87198 and 87206