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What is the Greatest Common Factor of 24416 and 24425?

Greatest common factor (GCF) of 24416 and 24425 is 1.

GCF(24416,24425) = 1

We will now calculate the prime factors of 24416 and 24425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24425.

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How to find the GCF of 24416 and 24425?

We will first find the prime factorization of 24416 and 24425. After we will calculate the factors of 24416 and 24425 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 24425

Prime factors of 24425 are 5, 977. Prime factorization of 24425 in exponential form is:

24425 = 52 × 9771

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 24425

List of positive integer factors of 24425 that divides 24416 without a remainder.

1, 5, 25, 977, 4885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24425. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24425 is 1.

Also check out the Least Common Multiple of 24416 and 24425