What is the Greatest Common Factor of 89198 and 89208?

Greatest common factor (GCF) of 89198 and 89208 is 2.

GCF(89198,89208) = 2

We will now calculate the prime factors of 89198 and 89208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89198 and 89208.

How to find the GCF of 89198 and 89208?

We will first find the prime factorization of 89198 and 89208. After we will calculate the factors of 89198 and 89208 and find the biggest common factor number .

Step-1: Prime Factorization of 89198

Prime factors of 89198 are 2, 103, 433. Prime factorization of 89198 in exponential form is:

89198 = 2¹ × 103¹ × 433¹

Step-2: Prime Factorization of 89208

Prime factors of 89208 are 2, 3, 7, 59. Prime factorization of 89208 in exponential form is:

89208 = 2³ × 3³ × 7¹ × 59¹

Step-3: Factors of 89198

List of positive integer factors of 89198 that divides 89198 without a remainder.

1, 2, 103, 206, 433, 866, 44599

Step-4: Factors of 89208

List of positive integer factors of 89208 that divides 89198 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 59, 63, 72, 84, 108, 118, 126, 168, 177, 189, 216, 236, 252, 354, 378, 413, 472, 504, 531, 708, 756, 826, 1062, 1239, 1416, 1512, 1593, 1652, 2124, 2478, 3186, 3304, 3717, 4248, 4956, 6372, 7434, 9912, 11151, 12744, 14868, 22302, 29736, 44604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89198 and 89208. The biggest common factor number is the GCF number.
So the greatest common factor 89198 and 89208 is 2.

Also check out the Least Common Multiple of 89198 and 89208