What is the Greatest Common Factor of 23498 and 23506?

Greatest common factor (GCF) of 23498 and 23506 is 2.

GCF(23498,23506) = 2

We will now calculate the prime factors of 23498 and 23506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23498 and 23506.

How to find the GCF of 23498 and 23506?

We will first find the prime factorization of 23498 and 23506. After we will calculate the factors of 23498 and 23506 and find the biggest common factor number .

Step-1: Prime Factorization of 23498

Prime factors of 23498 are 2, 31, 379. Prime factorization of 23498 in exponential form is:

23498 = 2¹ × 31¹ × 379¹

Step-2: Prime Factorization of 23506

Prime factors of 23506 are 2, 7, 23, 73. Prime factorization of 23506 in exponential form is:

23506 = 2¹ × 7¹ × 23¹ × 73¹

Step-3: Factors of 23498

List of positive integer factors of 23498 that divides 23498 without a remainder.

1, 2, 31, 62, 379, 758, 11749

Step-4: Factors of 23506

List of positive integer factors of 23506 that divides 23498 without a remainder.

1, 2, 7, 14, 23, 46, 73, 146, 161, 322, 511, 1022, 1679, 3358, 11753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23498 and 23506. The biggest common factor number is the GCF number.
So the greatest common factor 23498 and 23506 is 2.

Also check out the Least Common Multiple of 23498 and 23506