What is the Greatest Common Factor of 48711 and 48729?

Greatest common factor (GCF) of 48711 and 48729 is 3.

GCF(48711,48729) = 3

We will now calculate the prime factors of 48711 and 48729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48711 and 48729.

How to find the GCF of 48711 and 48729?

We will first find the prime factorization of 48711 and 48729. After we will calculate the factors of 48711 and 48729 and find the biggest common factor number .

Step-1: Prime Factorization of 48711

Prime factors of 48711 are 3, 13, 1249. Prime factorization of 48711 in exponential form is:

48711 = 3¹ × 13¹ × 1249¹

Step-2: Prime Factorization of 48729

Prime factors of 48729 are 3, 37, 439. Prime factorization of 48729 in exponential form is:

48729 = 3¹ × 37¹ × 439¹

Step-3: Factors of 48711

List of positive integer factors of 48711 that divides 48711 without a remainder.

1, 3, 13, 39, 1249, 3747, 16237

Step-4: Factors of 48729

List of positive integer factors of 48729 that divides 48711 without a remainder.

1, 3, 37, 111, 439, 1317, 16243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48711 and 48729. The biggest common factor number is the GCF number.
So the greatest common factor 48711 and 48729 is 3.

Also check out the Least Common Multiple of 48711 and 48729