What is the Greatest Common Factor of 68736 and 68743?

Greatest common factor (GCF) of 68736 and 68743 is 1.

GCF(68736,68743) = 1

We will now calculate the prime factors of 68736 and 68743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68736 and 68743.

How to find the GCF of 68736 and 68743?

We will first find the prime factorization of 68736 and 68743. After we will calculate the factors of 68736 and 68743 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 68743

Prime factors of 68743 are 68743. Prime factorization of 68743 in exponential form is:

68743 = 68743¹

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 68743

List of positive integer factors of 68743 that divides 68736 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68736 and 68743. The biggest common factor number is the GCF number.
So the greatest common factor 68736 and 68743 is 1.

Also check out the Least Common Multiple of 68736 and 68743