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What is the Greatest Common Factor of 25415 and 25423?

Greatest common factor (GCF) of 25415 and 25423 is 1.

GCF(25415,25423) = 1

We will now calculate the prime factors of 25415 and 25423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25415 and 25423.

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How to find the GCF of 25415 and 25423?

We will first find the prime factorization of 25415 and 25423. After we will calculate the factors of 25415 and 25423 and find the biggest common factor number .

Step-1: Prime Factorization of 25415

Prime factors of 25415 are 5, 13, 17, 23. Prime factorization of 25415 in exponential form is:

25415 = 51 × 131 × 171 × 231

Step-2: Prime Factorization of 25423

Prime factors of 25423 are 25423. Prime factorization of 25423 in exponential form is:

25423 = 254231

Step-3: Factors of 25415

List of positive integer factors of 25415 that divides 25415 without a remainder.

1, 5, 13, 17, 23, 65, 85, 115, 221, 299, 391, 1105, 1495, 1955, 5083

Step-4: Factors of 25423

List of positive integer factors of 25423 that divides 25415 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25415 and 25423. The biggest common factor number is the GCF number.
So the greatest common factor 25415 and 25423 is 1.

Also check out the Least Common Multiple of 25415 and 25423