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What is the Greatest Common Factor of 38723 and 38729?

Greatest common factor (GCF) of 38723 and 38729 is 1.

GCF(38723,38729) = 1

We will now calculate the prime factors of 38723 and 38729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38723 and 38729.

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How to find the GCF of 38723 and 38729?

We will first find the prime factorization of 38723 and 38729. After we will calculate the factors of 38723 and 38729 and find the biggest common factor number .

Step-1: Prime Factorization of 38723

Prime factors of 38723 are 38723. Prime factorization of 38723 in exponential form is:

38723 = 387231

Step-2: Prime Factorization of 38729

Prime factors of 38729 are 38729. Prime factorization of 38729 in exponential form is:

38729 = 387291

Step-3: Factors of 38723

List of positive integer factors of 38723 that divides 38723 without a remainder.

1

Step-4: Factors of 38729

List of positive integer factors of 38729 that divides 38723 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38723 and 38729. The biggest common factor number is the GCF number.
So the greatest common factor 38723 and 38729 is 1.

Also check out the Least Common Multiple of 38723 and 38729