GCF and LCM Calculator Logo

What is the Greatest Common Factor of 48717 and 48726?

Greatest common factor (GCF) of 48717 and 48726 is 9.

GCF(48717,48726) = 9

We will now calculate the prime factors of 48717 and 48726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48717 and 48726.

GCF Calculator and
and

How to find the GCF of 48717 and 48726?

We will first find the prime factorization of 48717 and 48726. After we will calculate the factors of 48717 and 48726 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 48726

Prime factors of 48726 are 2, 3, 2707. Prime factorization of 48726 in exponential form is:

48726 = 21 × 32 × 27071

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 48726

List of positive integer factors of 48726 that divides 48717 without a remainder.

1, 2, 3, 6, 9, 18, 2707, 5414, 8121, 16242, 24363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48717 and 48726. The biggest common factor number is the GCF number.
So the greatest common factor 48717 and 48726 is 9.

Also check out the Least Common Multiple of 48717 and 48726