What is the Greatest Common Factor of 68736 and 68752?

Greatest common factor (GCF) of 68736 and 68752 is 16.

GCF(68736,68752) = 16

We will now calculate the prime factors of 68736 and 68752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68736 and 68752.

How to find the GCF of 68736 and 68752?

We will first find the prime factorization of 68736 and 68752. After we will calculate the factors of 68736 and 68752 and find the biggest common factor number .

Step-1: Prime Factorization of 68736

Prime factors of 68736 are 2, 3, 179. Prime factorization of 68736 in exponential form is:

68736 = 2⁷ × 3¹ × 179¹

Step-2: Prime Factorization of 68752

Prime factors of 68752 are 2, 4297. Prime factorization of 68752 in exponential form is:

68752 = 2⁴ × 4297¹

Step-3: Factors of 68736

List of positive integer factors of 68736 that divides 68736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 179, 192, 358, 384, 537, 716, 1074, 1432, 2148, 2864, 4296, 5728, 8592, 11456, 17184, 22912, 34368

Step-4: Factors of 68752

List of positive integer factors of 68752 that divides 68736 without a remainder.

1, 2, 4, 8, 16, 4297, 8594, 17188, 34376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68736 and 68752. The biggest common factor number is the GCF number.
So the greatest common factor 68736 and 68752 is 16.

Also check out the Least Common Multiple of 68736 and 68752