What is the Greatest Common Factor of 89180 and 89194?

Greatest common factor (GCF) of 89180 and 89194 is 14.

GCF(89180,89194) = 14

We will now calculate the prime factors of 89180 and 89194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89180 and 89194.

How to find the GCF of 89180 and 89194?

We will first find the prime factorization of 89180 and 89194. After we will calculate the factors of 89180 and 89194 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 89194

Prime factors of 89194 are 2, 7, 23, 277. Prime factorization of 89194 in exponential form is:

89194 = 2¹ × 7¹ × 23¹ × 277¹

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 89194

List of positive integer factors of 89194 that divides 89180 without a remainder.

1, 2, 7, 14, 23, 46, 161, 277, 322, 554, 1939, 3878, 6371, 12742, 44597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89180 and 89194. The biggest common factor number is the GCF number.
So the greatest common factor 89180 and 89194 is 14.

Also check out the Least Common Multiple of 89180 and 89194