What is the Greatest Common Factor of 50752 and 50766?

Greatest common factor (GCF) of 50752 and 50766 is 2.

GCF(50752,50766) = 2

We will now calculate the prime factors of 50752 and 50766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50752 and 50766.

How to find the GCF of 50752 and 50766?

We will first find the prime factorization of 50752 and 50766. After we will calculate the factors of 50752 and 50766 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 50766

Prime factors of 50766 are 2, 3, 8461. Prime factorization of 50766 in exponential form is:

50766 = 2¹ × 3¹ × 8461¹

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 50766

List of positive integer factors of 50766 that divides 50752 without a remainder.

1, 2, 3, 6, 8461, 16922, 25383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50752 and 50766. The biggest common factor number is the GCF number.
So the greatest common factor 50752 and 50766 is 2.

Also check out the Least Common Multiple of 50752 and 50766