What is the Greatest Common Factor of 23480 and 23492?

Greatest common factor (GCF) of 23480 and 23492 is 4.

GCF(23480,23492) = 4

We will now calculate the prime factors of 23480 and 23492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23480 and 23492.

How to find the GCF of 23480 and 23492?

We will first find the prime factorization of 23480 and 23492. After we will calculate the factors of 23480 and 23492 and find the biggest common factor number .

Step-1: Prime Factorization of 23480

Prime factors of 23480 are 2, 5, 587. Prime factorization of 23480 in exponential form is:

23480 = 2³ × 5¹ × 587¹

Step-2: 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-3: Factors of 23480

List of positive integer factors of 23480 that divides 23480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 587, 1174, 2348, 2935, 4696, 5870, 11740

Step-4: Factors of 23492

List of positive integer factors of 23492 that divides 23480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23480 and 23492. The biggest common factor number is the GCF number.
So the greatest common factor 23480 and 23492 is 4.

Also check out the Least Common Multiple of 23480 and 23492