What is the Greatest Common Factor of 23287 and 23298?

Greatest common factor (GCF) of 23287 and 23298 is 11.

GCF(23287,23298) = 11

We will now calculate the prime factors of 23287 and 23298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23287 and 23298.

How to find the GCF of 23287 and 23298?

We will first find the prime factorization of 23287 and 23298. After we will calculate the factors of 23287 and 23298 and find the biggest common factor number .

Step-1: Prime Factorization of 23287

Prime factors of 23287 are 11, 29, 73. Prime factorization of 23287 in exponential form is:

23287 = 11¹ × 29¹ × 73¹

Step-2: Prime Factorization of 23298

Prime factors of 23298 are 2, 3, 11, 353. Prime factorization of 23298 in exponential form is:

23298 = 2¹ × 3¹ × 11¹ × 353¹

Step-3: Factors of 23287

List of positive integer factors of 23287 that divides 23287 without a remainder.

1, 11, 29, 73, 319, 803, 2117

Step-4: Factors of 23298

List of positive integer factors of 23298 that divides 23287 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 353, 706, 1059, 2118, 3883, 7766, 11649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23287 and 23298. The biggest common factor number is the GCF number.
So the greatest common factor 23287 and 23298 is 11.

Also check out the Least Common Multiple of 23287 and 23298