What is the Greatest Common Factor of 24472 and 24479?

Greatest common factor (GCF) of 24472 and 24479 is 7.

GCF(24472,24479) = 7

We will now calculate the prime factors of 24472 and 24479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24472 and 24479.

How to find the GCF of 24472 and 24479?

We will first find the prime factorization of 24472 and 24479. After we will calculate the factors of 24472 and 24479 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 24479

Prime factors of 24479 are 7, 13, 269. Prime factorization of 24479 in exponential form is:

24479 = 7¹ × 13¹ × 269¹

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 24479

List of positive integer factors of 24479 that divides 24472 without a remainder.

1, 7, 13, 91, 269, 1883, 3497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24472 and 24479. The biggest common factor number is the GCF number.
So the greatest common factor 24472 and 24479 is 7.

Also check out the Least Common Multiple of 24472 and 24479