What is the Greatest Common Factor of 23492 and 23506?

Greatest common factor (GCF) of 23492 and 23506 is 14.

GCF(23492,23506) = 14

We will now calculate the prime factors of 23492 and 23506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23492 and 23506.

How to find the GCF of 23492 and 23506?

We will first find the prime factorization of 23492 and 23506. After we will calculate the factors of 23492 and 23506 and find the biggest common factor number .

Step-1: Prime Factorization of 23492

Prime factors of 23492 are 2, 7, 839. Prime factorization of 23492 in exponential form is:

23492 = 2² × 7¹ × 839¹

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 23492

List of positive integer factors of 23492 that divides 23492 without a remainder.

1, 2, 4, 7, 14, 28, 839, 1678, 3356, 5873, 11746

Step-4: Factors of 23506

List of positive integer factors of 23506 that divides 23492 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 23492 and 23506. The biggest common factor number is the GCF number.
So the greatest common factor 23492 and 23506 is 14.

Also check out the Least Common Multiple of 23492 and 23506