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What is the Greatest Common Factor of 54197 and 54204?

Greatest common factor (GCF) of 54197 and 54204 is 1.

GCF(54197,54204) = 1

We will now calculate the prime factors of 54197 and 54204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54197 and 54204.

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How to find the GCF of 54197 and 54204?

We will first find the prime factorization of 54197 and 54204. After we will calculate the factors of 54197 and 54204 and find the biggest common factor number .

Step-1: Prime Factorization of 54197

Prime factors of 54197 are 11, 13, 379. Prime factorization of 54197 in exponential form is:

54197 = 111 × 131 × 3791

Step-2: Prime Factorization of 54204

Prime factors of 54204 are 2, 3, 4517. Prime factorization of 54204 in exponential form is:

54204 = 22 × 31 × 45171

Step-3: Factors of 54197

List of positive integer factors of 54197 that divides 54197 without a remainder.

1, 11, 13, 143, 379, 4169, 4927

Step-4: Factors of 54204

List of positive integer factors of 54204 that divides 54197 without a remainder.

1, 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, 27102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54197 and 54204. The biggest common factor number is the GCF number.
So the greatest common factor 54197 and 54204 is 1.

Also check out the Least Common Multiple of 54197 and 54204