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What is the Greatest Common Factor of 32821 and 32833?

Greatest common factor (GCF) of 32821 and 32833 is 1.

GCF(32821,32833) = 1

We will now calculate the prime factors of 32821 and 32833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32821 and 32833.

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How to find the GCF of 32821 and 32833?

We will first find the prime factorization of 32821 and 32833. After we will calculate the factors of 32821 and 32833 and find the biggest common factor number .

Step-1: Prime Factorization of 32821

Prime factors of 32821 are 23, 1427. Prime factorization of 32821 in exponential form is:

32821 = 231 × 14271

Step-2: Prime Factorization of 32833

Prime factors of 32833 are 32833. Prime factorization of 32833 in exponential form is:

32833 = 328331

Step-3: Factors of 32821

List of positive integer factors of 32821 that divides 32821 without a remainder.

1, 23, 1427

Step-4: Factors of 32833

List of positive integer factors of 32833 that divides 32821 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32821 and 32833. The biggest common factor number is the GCF number.
So the greatest common factor 32821 and 32833 is 1.

Also check out the Least Common Multiple of 32821 and 32833