What is the Greatest Common Factor of 50752 and 50764?

Greatest common factor (GCF) of 50752 and 50764 is 4.

GCF(50752,50764) = 4

We will now calculate the prime factors of 50752 and 50764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50752 and 50764.

How to find the GCF of 50752 and 50764?

We will first find the prime factorization of 50752 and 50764. After we will calculate the factors of 50752 and 50764 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 50764

Prime factors of 50764 are 2, 7, 37. Prime factorization of 50764 in exponential form is:

50764 = 2² × 7³ × 37¹

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 50764

List of positive integer factors of 50764 that divides 50752 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 343, 518, 686, 1036, 1372, 1813, 3626, 7252, 12691, 25382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50752 and 50764. The biggest common factor number is the GCF number.
So the greatest common factor 50752 and 50764 is 4.

Also check out the Least Common Multiple of 50752 and 50764