What is the Greatest Common Factor of 24416 and 24435?

Greatest common factor (GCF) of 24416 and 24435 is 1.

GCF(24416,24435) = 1

We will now calculate the prime factors of 24416 and 24435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24435.

How to find the GCF of 24416 and 24435?

We will first find the prime factorization of 24416 and 24435. After we will calculate the factors of 24416 and 24435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24435

Prime factors of 24435 are 3, 5, 181. Prime factorization of 24435 in exponential form is:

24435 = 3³ × 5¹ × 181¹

Step-3: Factors of 24416

List of positive integer factors of 24416 that divides 24416 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

Step-4: Factors of 24435

List of positive integer factors of 24435 that divides 24416 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 181, 543, 905, 1629, 2715, 4887, 8145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24435. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24435 is 1.

Also check out the Least Common Multiple of 24416 and 24435