What is the Greatest Common Factor of 50739 and 50752?

Greatest common factor (GCF) of 50739 and 50752 is 13.

GCF(50739,50752) = 13

We will now calculate the prime factors of 50739 and 50752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50739 and 50752.

How to find the GCF of 50739 and 50752?

We will first find the prime factorization of 50739 and 50752. After we will calculate the factors of 50739 and 50752 and find the biggest common factor number .

Step-1: Prime Factorization of 50739

Prime factors of 50739 are 3, 13, 1301. Prime factorization of 50739 in exponential form is:

50739 = 3¹ × 13¹ × 1301¹

Step-2: 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-3: Factors of 50739

List of positive integer factors of 50739 that divides 50739 without a remainder.

1, 3, 13, 39, 1301, 3903, 16913

Step-4: Factors of 50752

List of positive integer factors of 50752 that divides 50739 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50739 and 50752. The biggest common factor number is the GCF number.
So the greatest common factor 50739 and 50752 is 13.

Also check out the Least Common Multiple of 50739 and 50752