What is the Greatest Common Factor of 50752 and 50771?

Greatest common factor (GCF) of 50752 and 50771 is 1.

GCF(50752,50771) = 1

We will now calculate the prime factors of 50752 and 50771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50752 and 50771.

How to find the GCF of 50752 and 50771?

We will first find the prime factorization of 50752 and 50771. After we will calculate the factors of 50752 and 50771 and find the biggest common factor number .

Step-1: Prime Factorization of 50752

Prime factors of 50752 are 2, 13, 61. Prime factorization of 50752 in exponential form is:

50752 = 2⁶ × 13¹ × 61¹

Step-2: Prime Factorization of 50771

Prime factors of 50771 are 7, 7253. Prime factorization of 50771 in exponential form is:

50771 = 7¹ × 7253¹

Step-3: Factors of 50752

List of positive integer factors of 50752 that divides 50752 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 61, 64, 104, 122, 208, 244, 416, 488, 793, 832, 976, 1586, 1952, 3172, 3904, 6344, 12688, 25376

Step-4: Factors of 50771

List of positive integer factors of 50771 that divides 50752 without a remainder.

1, 7, 7253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50752 and 50771. The biggest common factor number is the GCF number.
So the greatest common factor 50752 and 50771 is 1.

Also check out the Least Common Multiple of 50752 and 50771