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What is the Greatest Common Factor of 28921 and 28941?

Greatest common factor (GCF) of 28921 and 28941 is 1.

GCF(28921,28941) = 1

We will now calculate the prime factors of 28921 and 28941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28921 and 28941.

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How to find the GCF of 28921 and 28941?

We will first find the prime factorization of 28921 and 28941. After we will calculate the factors of 28921 and 28941 and find the biggest common factor number .

Step-1: Prime Factorization of 28921

Prime factors of 28921 are 28921. Prime factorization of 28921 in exponential form is:

28921 = 289211

Step-2: Prime Factorization of 28941

Prime factors of 28941 are 3, 11, 877. Prime factorization of 28941 in exponential form is:

28941 = 31 × 111 × 8771

Step-3: Factors of 28921

List of positive integer factors of 28921 that divides 28921 without a remainder.

1

Step-4: Factors of 28941

List of positive integer factors of 28941 that divides 28921 without a remainder.

1, 3, 11, 33, 877, 2631, 9647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28921 and 28941. The biggest common factor number is the GCF number.
So the greatest common factor 28921 and 28941 is 1.

Also check out the Least Common Multiple of 28921 and 28941