What is the Greatest Common Factor of 89243 and 89257?

Greatest common factor (GCF) of 89243 and 89257 is 7.

GCF(89243,89257) = 7

We will now calculate the prime factors of 89243 and 89257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89243 and 89257.

How to find the GCF of 89243 and 89257?

We will first find the prime factorization of 89243 and 89257. After we will calculate the factors of 89243 and 89257 and find the biggest common factor number .

Step-1: Prime Factorization of 89243

Prime factors of 89243 are 7, 11, 19, 61. Prime factorization of 89243 in exponential form is:

89243 = 7¹ × 11¹ × 19¹ × 61¹

Step-2: Prime Factorization of 89257

Prime factors of 89257 are 7, 41, 311. Prime factorization of 89257 in exponential form is:

89257 = 7¹ × 41¹ × 311¹

Step-3: Factors of 89243

List of positive integer factors of 89243 that divides 89243 without a remainder.

1, 7, 11, 19, 61, 77, 133, 209, 427, 671, 1159, 1463, 4697, 8113, 12749

Step-4: Factors of 89257

List of positive integer factors of 89257 that divides 89243 without a remainder.

1, 7, 41, 287, 311, 2177, 12751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89243 and 89257. The biggest common factor number is the GCF number.
So the greatest common factor 89243 and 89257 is 7.

Also check out the Least Common Multiple of 89243 and 89257