What is the Greatest Common Factor of 68736 and 68748?

Greatest common factor (GCF) of 68736 and 68748 is 12.

GCF(68736,68748) = 12

We will now calculate the prime factors of 68736 and 68748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68736 and 68748.

How to find the GCF of 68736 and 68748?

We will first find the prime factorization of 68736 and 68748. After we will calculate the factors of 68736 and 68748 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 68748

Prime factors of 68748 are 2, 3, 17, 337. Prime factorization of 68748 in exponential form is:

68748 = 2² × 3¹ × 17¹ × 337¹

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 68748

List of positive integer factors of 68748 that divides 68736 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 337, 674, 1011, 1348, 2022, 4044, 5729, 11458, 17187, 22916, 34374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68736 and 68748. The biggest common factor number is the GCF number.
So the greatest common factor 68736 and 68748 is 12.

Also check out the Least Common Multiple of 68736 and 68748