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What is the Greatest Common Factor of 20892 and 20897?

Greatest common factor (GCF) of 20892 and 20897 is 1.

GCF(20892,20897) = 1

We will now calculate the prime factors of 20892 and 20897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20892 and 20897.

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How to find the GCF of 20892 and 20897?

We will first find the prime factorization of 20892 and 20897. After we will calculate the factors of 20892 and 20897 and find the biggest common factor number .

Step-1: Prime Factorization of 20892

Prime factors of 20892 are 2, 3, 1741. Prime factorization of 20892 in exponential form is:

20892 = 22 × 31 × 17411

Step-2: Prime Factorization of 20897

Prime factors of 20897 are 20897. Prime factorization of 20897 in exponential form is:

20897 = 208971

Step-3: Factors of 20892

List of positive integer factors of 20892 that divides 20892 without a remainder.

1, 2, 3, 4, 6, 12, 1741, 3482, 5223, 6964, 10446

Step-4: Factors of 20897

List of positive integer factors of 20897 that divides 20892 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20892 and 20897. The biggest common factor number is the GCF number.
So the greatest common factor 20892 and 20897 is 1.

Also check out the Least Common Multiple of 20892 and 20897