What is the Greatest Common Factor of 23285 and 23298?

Greatest common factor (GCF) of 23285 and 23298 is 1.

GCF(23285,23298) = 1

We will now calculate the prime factors of 23285 and 23298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23285 and 23298.

How to find the GCF of 23285 and 23298?

We will first find the prime factorization of 23285 and 23298. After we will calculate the factors of 23285 and 23298 and find the biggest common factor number .

Step-1: Prime Factorization of 23285

Prime factors of 23285 are 5, 4657. Prime factorization of 23285 in exponential form is:

23285 = 5¹ × 4657¹

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 23285

List of positive integer factors of 23285 that divides 23285 without a remainder.

1, 5, 4657

Step-4: Factors of 23298

List of positive integer factors of 23298 that divides 23285 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 23285 and 23298. The biggest common factor number is the GCF number.
So the greatest common factor 23285 and 23298 is 1.

Also check out the Least Common Multiple of 23285 and 23298