What is the Greatest Common Factor of 24472 and 24491?

Greatest common factor (GCF) of 24472 and 24491 is 19.

GCF(24472,24491) = 19

We will now calculate the prime factors of 24472 and 24491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24472 and 24491.

How to find the GCF of 24472 and 24491?

We will first find the prime factorization of 24472 and 24491. After we will calculate the factors of 24472 and 24491 and find the biggest common factor number .

Step-1: Prime Factorization of 24472

Prime factors of 24472 are 2, 7, 19, 23. Prime factorization of 24472 in exponential form is:

24472 = 2³ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 24491

Prime factors of 24491 are 19, 1289. Prime factorization of 24491 in exponential form is:

24491 = 19¹ × 1289¹

Step-3: Factors of 24472

List of positive integer factors of 24472 that divides 24472 without a remainder.

1, 2, 4, 7, 8, 14, 19, 23, 28, 38, 46, 56, 76, 92, 133, 152, 161, 184, 266, 322, 437, 532, 644, 874, 1064, 1288, 1748, 3059, 3496, 6118, 12236

Step-4: Factors of 24491

List of positive integer factors of 24491 that divides 24472 without a remainder.

1, 19, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24472 and 24491. The biggest common factor number is the GCF number.
So the greatest common factor 24472 and 24491 is 19.

Also check out the Least Common Multiple of 24472 and 24491