What is the Greatest Common Factor of 23427 and 23446?

Greatest common factor (GCF) of 23427 and 23446 is 19.

GCF(23427,23446) = 19

We will now calculate the prime factors of 23427 and 23446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23427 and 23446.

How to find the GCF of 23427 and 23446?

We will first find the prime factorization of 23427 and 23446. After we will calculate the factors of 23427 and 23446 and find the biggest common factor number .

Step-1: Prime Factorization of 23427

Prime factors of 23427 are 3, 19, 137. Prime factorization of 23427 in exponential form is:

23427 = 3² × 19¹ × 137¹

Step-2: Prime Factorization of 23446

Prime factors of 23446 are 2, 19, 617. Prime factorization of 23446 in exponential form is:

23446 = 2¹ × 19¹ × 617¹

Step-3: Factors of 23427

List of positive integer factors of 23427 that divides 23427 without a remainder.

1, 3, 9, 19, 57, 137, 171, 411, 1233, 2603, 7809

Step-4: Factors of 23446

List of positive integer factors of 23446 that divides 23427 without a remainder.

1, 2, 19, 38, 617, 1234, 11723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23427 and 23446. The biggest common factor number is the GCF number.
So the greatest common factor 23427 and 23446 is 19.

Also check out the Least Common Multiple of 23427 and 23446