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What is the Greatest Common Factor of 5471 and 5491?

Greatest common factor (GCF) of 5471 and 5491 is 1.

GCF(5471,5491) = 1

We will now calculate the prime factors of 5471 and 5491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5471 and 5491.

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How to find the GCF of 5471 and 5491?

We will first find the prime factorization of 5471 and 5491. After we will calculate the factors of 5471 and 5491 and find the biggest common factor number .

Step-1: Prime Factorization of 5471

Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:

5471 = 54711

Step-2: Prime Factorization of 5491

Prime factors of 5491 are 17, 19. Prime factorization of 5491 in exponential form is:

5491 = 172 × 191

Step-3: Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1

Step-4: Factors of 5491

List of positive integer factors of 5491 that divides 5471 without a remainder.

1, 17, 19, 289, 323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5471 and 5491. The biggest common factor number is the GCF number.
So the greatest common factor 5471 and 5491 is 1.

Also check out the Least Common Multiple of 5471 and 5491