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What is the Greatest Common Factor of 52354 and 52371?

Greatest common factor (GCF) of 52354 and 52371 is 1.

GCF(52354,52371) = 1

We will now calculate the prime factors of 52354 and 52371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52354 and 52371.

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How to find the GCF of 52354 and 52371?

We will first find the prime factorization of 52354 and 52371. After we will calculate the factors of 52354 and 52371 and find the biggest common factor number .

Step-1: Prime Factorization of 52354

Prime factors of 52354 are 2, 26177. Prime factorization of 52354 in exponential form is:

52354 = 21 × 261771

Step-2: Prime Factorization of 52371

Prime factors of 52371 are 3, 11, 23. Prime factorization of 52371 in exponential form is:

52371 = 32 × 111 × 232

Step-3: Factors of 52354

List of positive integer factors of 52354 that divides 52354 without a remainder.

1, 2, 26177

Step-4: Factors of 52371

List of positive integer factors of 52371 that divides 52354 without a remainder.

1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 529, 759, 1587, 2277, 4761, 5819, 17457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52354 and 52371. The biggest common factor number is the GCF number.
So the greatest common factor 52354 and 52371 is 1.

Also check out the Least Common Multiple of 52354 and 52371