What is the Greatest Common Factor of 50752 and 50772?

Greatest common factor (GCF) of 50752 and 50772 is 4.

GCF(50752,50772) = 4

We will now calculate the prime factors of 50752 and 50772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50752 and 50772.

How to find the GCF of 50752 and 50772?

We will first find the prime factorization of 50752 and 50772. After we will calculate the factors of 50752 and 50772 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 50772

Prime factors of 50772 are 2, 3, 4231. Prime factorization of 50772 in exponential form is:

50772 = 2² × 3¹ × 4231¹

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 50772

List of positive integer factors of 50772 that divides 50752 without a remainder.

1, 2, 3, 4, 6, 12, 4231, 8462, 12693, 16924, 25386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50752 and 50772. The biggest common factor number is the GCF number.
So the greatest common factor 50752 and 50772 is 4.

Also check out the Least Common Multiple of 50752 and 50772