What is the Greatest Common Factor of 88198 and 88208?

Greatest common factor (GCF) of 88198 and 88208 is 2.

GCF(88198,88208) = 2

We will now calculate the prime factors of 88198 and 88208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88198 and 88208.

How to find the GCF of 88198 and 88208?

We will first find the prime factorization of 88198 and 88208. After we will calculate the factors of 88198 and 88208 and find the biggest common factor number .

Step-1: Prime Factorization of 88198

Prime factors of 88198 are 2, 11, 19, 211. Prime factorization of 88198 in exponential form is:

88198 = 2¹ × 11¹ × 19¹ × 211¹

Step-2: Prime Factorization of 88208

Prime factors of 88208 are 2, 37, 149. Prime factorization of 88208 in exponential form is:

88208 = 2⁴ × 37¹ × 149¹

Step-3: Factors of 88198

List of positive integer factors of 88198 that divides 88198 without a remainder.

1, 2, 11, 19, 22, 38, 209, 211, 418, 422, 2321, 4009, 4642, 8018, 44099

Step-4: Factors of 88208

List of positive integer factors of 88208 that divides 88198 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 149, 296, 298, 592, 596, 1192, 2384, 5513, 11026, 22052, 44104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88198 and 88208. The biggest common factor number is the GCF number.
So the greatest common factor 88198 and 88208 is 2.

Also check out the Least Common Multiple of 88198 and 88208