What is the Greatest Common Factor of 48719 and 48729?

Greatest common factor (GCF) of 48719 and 48729 is 1.

GCF(48719,48729) = 1

We will now calculate the prime factors of 48719 and 48729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48719 and 48729.

How to find the GCF of 48719 and 48729?

We will first find the prime factorization of 48719 and 48729. After we will calculate the factors of 48719 and 48729 and find the biggest common factor number .

Step-1: Prime Factorization of 48719

Prime factors of 48719 are 11, 43, 103. Prime factorization of 48719 in exponential form is:

48719 = 11¹ × 43¹ × 103¹

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 48719

List of positive integer factors of 48719 that divides 48719 without a remainder.

1, 11, 43, 103, 473, 1133, 4429

Step-4: Factors of 48729

List of positive integer factors of 48729 that divides 48719 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48719 and 48729. The biggest common factor number is the GCF number.
So the greatest common factor 48719 and 48729 is 1.

Also check out the Least Common Multiple of 48719 and 48729