What is the Greatest Common Factor of 24458 and 24472?

Greatest common factor (GCF) of 24458 and 24472 is 14.

GCF(24458,24472) = 14

We will now calculate the prime factors of 24458 and 24472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24458 and 24472.

How to find the GCF of 24458 and 24472?

We will first find the prime factorization of 24458 and 24472. After we will calculate the factors of 24458 and 24472 and find the biggest common factor number .

Step-1: Prime Factorization of 24458

Prime factors of 24458 are 2, 7, 1747. Prime factorization of 24458 in exponential form is:

24458 = 2¹ × 7¹ × 1747¹

Step-2: 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-3: Factors of 24458

List of positive integer factors of 24458 that divides 24458 without a remainder.

1, 2, 7, 14, 1747, 3494, 12229

Step-4: Factors of 24472

List of positive integer factors of 24472 that divides 24458 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24458 and 24472. The biggest common factor number is the GCF number.
So the greatest common factor 24458 and 24472 is 14.

Also check out the Least Common Multiple of 24458 and 24472