What is the Greatest Common Factor of 48717 and 48731?

Greatest common factor (GCF) of 48717 and 48731 is 1.

GCF(48717,48731) = 1

We will now calculate the prime factors of 48717 and 48731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48717 and 48731.

How to find the GCF of 48717 and 48731?

We will first find the prime factorization of 48717 and 48731. After we will calculate the factors of 48717 and 48731 and find the biggest common factor number .

Step-1: Prime Factorization of 48717

Prime factors of 48717 are 3, 5413. Prime factorization of 48717 in exponential form is:

48717 = 3² × 5413¹

Step-2: Prime Factorization of 48731

Prime factors of 48731 are 48731. Prime factorization of 48731 in exponential form is:

48731 = 48731¹

Step-3: Factors of 48717

List of positive integer factors of 48717 that divides 48717 without a remainder.

1, 3, 9, 5413, 16239

Step-4: Factors of 48731

List of positive integer factors of 48731 that divides 48717 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48717 and 48731. The biggest common factor number is the GCF number.
So the greatest common factor 48717 and 48731 is 1.

Also check out the Least Common Multiple of 48717 and 48731