What is the Greatest Common Factor of 89287 and 89298?

Greatest common factor (GCF) of 89287 and 89298 is 11.

GCF(89287,89298) = 11

We will now calculate the prime factors of 89287 and 89298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89287 and 89298.

How to find the GCF of 89287 and 89298?

We will first find the prime factorization of 89287 and 89298. After we will calculate the factors of 89287 and 89298 and find the biggest common factor number .

Step-1: Prime Factorization of 89287

Prime factors of 89287 are 11, 8117. Prime factorization of 89287 in exponential form is:

89287 = 11¹ × 8117¹

Step-2: Prime Factorization of 89298

Prime factors of 89298 are 2, 3, 11, 41. Prime factorization of 89298 in exponential form is:

89298 = 2¹ × 3² × 11² × 41¹

Step-3: Factors of 89287

List of positive integer factors of 89287 that divides 89287 without a remainder.

1, 11, 8117

Step-4: Factors of 89298

List of positive integer factors of 89298 that divides 89287 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 121, 123, 198, 242, 246, 363, 369, 451, 726, 738, 902, 1089, 1353, 2178, 2706, 4059, 4961, 8118, 9922, 14883, 29766, 44649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89287 and 89298. The biggest common factor number is the GCF number.
So the greatest common factor 89287 and 89298 is 11.

Also check out the Least Common Multiple of 89287 and 89298