What is the Greatest Common Factor of 48391 and 48407?

Greatest common factor (GCF) of 48391 and 48407 is 1.

GCF(48391,48407) = 1

We will now calculate the prime factors of 48391 and 48407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48391 and 48407.

How to find the GCF of 48391 and 48407?

We will first find the prime factorization of 48391 and 48407. After we will calculate the factors of 48391 and 48407 and find the biggest common factor number .

Step-1: Prime Factorization of 48391

Prime factors of 48391 are 7, 31, 223. Prime factorization of 48391 in exponential form is:

48391 = 7¹ × 31¹ × 223¹

Step-2: Prime Factorization of 48407

Prime factors of 48407 are 48407. Prime factorization of 48407 in exponential form is:

48407 = 48407¹

Step-3: Factors of 48391

List of positive integer factors of 48391 that divides 48391 without a remainder.

1, 7, 31, 217, 223, 1561, 6913

Step-4: Factors of 48407

List of positive integer factors of 48407 that divides 48391 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48391 and 48407. The biggest common factor number is the GCF number.
So the greatest common factor 48391 and 48407 is 1.

Also check out the Least Common Multiple of 48391 and 48407