What is the Greatest Common Factor of 24402 and 24416?

Greatest common factor (GCF) of 24402 and 24416 is 14.

GCF(24402,24416) = 14

We will now calculate the prime factors of 24402 and 24416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24402 and 24416.

How to find the GCF of 24402 and 24416?

We will first find the prime factorization of 24402 and 24416. After we will calculate the factors of 24402 and 24416 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24416

Prime factors of 24416 are 2, 7, 109. Prime factorization of 24416 in exponential form is:

24416 = 2⁵ × 7¹ × 109¹

Step-3: Factors of 24402

List of positive integer factors of 24402 that divides 24402 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

Step-4: Factors of 24416

List of positive integer factors of 24416 that divides 24402 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 109, 112, 218, 224, 436, 763, 872, 1526, 1744, 3052, 3488, 6104, 12208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24402 and 24416. The biggest common factor number is the GCF number.
So the greatest common factor 24402 and 24416 is 14.

Also check out the Least Common Multiple of 24402 and 24416