What is the Greatest Common Factor of 50736 and 50752?

Greatest common factor (GCF) of 50736 and 50752 is 16.

GCF(50736,50752) = 16

We will now calculate the prime factors of 50736 and 50752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50736 and 50752.

How to find the GCF of 50736 and 50752?

We will first find the prime factorization of 50736 and 50752. After we will calculate the factors of 50736 and 50752 and find the biggest common factor number .

Step-1: Prime Factorization of 50736

Prime factors of 50736 are 2, 3, 7, 151. Prime factorization of 50736 in exponential form is:

50736 = 2⁴ × 3¹ × 7¹ × 151¹

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 50736

List of positive integer factors of 50736 that divides 50736 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 151, 168, 302, 336, 453, 604, 906, 1057, 1208, 1812, 2114, 2416, 3171, 3624, 4228, 6342, 7248, 8456, 12684, 16912, 25368

Step-4: Factors of 50752

List of positive integer factors of 50752 that divides 50736 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 50736 and 50752. The biggest common factor number is the GCF number.
So the greatest common factor 50736 and 50752 is 16.

Also check out the Least Common Multiple of 50736 and 50752