What is the Greatest Common Factor of 24388 and 24402?

Greatest common factor (GCF) of 24388 and 24402 is 14.

GCF(24388,24402) = 14

We will now calculate the prime factors of 24388 and 24402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24388 and 24402.

How to find the GCF of 24388 and 24402?

We will first find the prime factorization of 24388 and 24402. After we will calculate the factors of 24388 and 24402 and find the biggest common factor number .

Step-1: Prime Factorization of 24388

Prime factors of 24388 are 2, 7, 13, 67. Prime factorization of 24388 in exponential form is:

24388 = 2² × 7¹ × 13¹ × 67¹

Step-2: Prime Factorization of 24402

Prime factors of 24402 are 2, 3, 7, 83. Prime factorization of 24402 in exponential form is:

24402 = 2¹ × 3¹ × 7² × 83¹

Step-3: Factors of 24388

List of positive integer factors of 24388 that divides 24388 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 67, 91, 134, 182, 268, 364, 469, 871, 938, 1742, 1876, 3484, 6097, 12194

Step-4: Factors of 24402

List of positive integer factors of 24402 that divides 24388 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 83, 98, 147, 166, 249, 294, 498, 581, 1162, 1743, 3486, 4067, 8134, 12201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24388 and 24402. The biggest common factor number is the GCF number.
So the greatest common factor 24388 and 24402 is 14.

Also check out the Least Common Multiple of 24388 and 24402