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What is the Greatest Common Factor of 8537 and 8549?

Greatest common factor (GCF) of 8537 and 8549 is 1.

GCF(8537,8549) = 1

We will now calculate the prime factors of 8537 and 8549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8537 and 8549.

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How to find the GCF of 8537 and 8549?

We will first find the prime factorization of 8537 and 8549. After we will calculate the factors of 8537 and 8549 and find the biggest common factor number .

Step-1: Prime Factorization of 8537

Prime factors of 8537 are 8537. Prime factorization of 8537 in exponential form is:

8537 = 85371

Step-2: Prime Factorization of 8549

Prime factors of 8549 are 83, 103. Prime factorization of 8549 in exponential form is:

8549 = 831 × 1031

Step-3: Factors of 8537

List of positive integer factors of 8537 that divides 8537 without a remainder.

1

Step-4: Factors of 8549

List of positive integer factors of 8549 that divides 8537 without a remainder.

1, 83, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8537 and 8549. The biggest common factor number is the GCF number.
So the greatest common factor 8537 and 8549 is 1.

Also check out the Least Common Multiple of 8537 and 8549