What is the Greatest Common Factor of 49760 and 49771?

Greatest common factor (GCF) of 49760 and 49771 is 1.

GCF(49760,49771) = 1

We will now calculate the prime factors of 49760 and 49771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49760 and 49771.

How to find the GCF of 49760 and 49771?

We will first find the prime factorization of 49760 and 49771. After we will calculate the factors of 49760 and 49771 and find the biggest common factor number .

Step-1: Prime Factorization of 49760

Prime factors of 49760 are 2, 5, 311. Prime factorization of 49760 in exponential form is:

49760 = 2⁵ × 5¹ × 311¹

Step-2: Prime Factorization of 49771

Prime factors of 49771 are 71, 701. Prime factorization of 49771 in exponential form is:

49771 = 71¹ × 701¹

Step-3: Factors of 49760

List of positive integer factors of 49760 that divides 49760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 311, 622, 1244, 1555, 2488, 3110, 4976, 6220, 9952, 12440, 24880

Step-4: Factors of 49771

List of positive integer factors of 49771 that divides 49760 without a remainder.

1, 71, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49760 and 49771. The biggest common factor number is the GCF number.
So the greatest common factor 49760 and 49771 is 1.

Also check out the Least Common Multiple of 49760 and 49771