What is the Greatest Common Factor of 89180 and 89198?

Greatest common factor (GCF) of 89180 and 89198 is 2.

GCF(89180,89198) = 2

We will now calculate the prime factors of 89180 and 89198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89180 and 89198.

How to find the GCF of 89180 and 89198?

We will first find the prime factorization of 89180 and 89198. After we will calculate the factors of 89180 and 89198 and find the biggest common factor number .

Step-1: Prime Factorization of 89180

Prime factors of 89180 are 2, 5, 7, 13. Prime factorization of 89180 in exponential form is:

89180 = 2² × 5¹ × 7³ × 13¹

Step-2: 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-3: Factors of 89180

List of positive integer factors of 89180 that divides 89180 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70, 91, 98, 130, 140, 182, 196, 245, 260, 343, 364, 455, 490, 637, 686, 910, 980, 1274, 1372, 1715, 1820, 2548, 3185, 3430, 4459, 6370, 6860, 8918, 12740, 17836, 22295, 44590

Step-4: Factors of 89198

List of positive integer factors of 89198 that divides 89180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89180 and 89198. The biggest common factor number is the GCF number.
So the greatest common factor 89180 and 89198 is 2.

Also check out the Least Common Multiple of 89180 and 89198