What is the Greatest Common Factor of 68724 and 68736?

Greatest common factor (GCF) of 68724 and 68736 is 12.

GCF(68724,68736) = 12

We will now calculate the prime factors of 68724 and 68736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68724 and 68736.

How to find the GCF of 68724 and 68736?

We will first find the prime factorization of 68724 and 68736. After we will calculate the factors of 68724 and 68736 and find the biggest common factor number .

Step-1: Prime Factorization of 68724

Prime factors of 68724 are 2, 3, 23, 83. Prime factorization of 68724 in exponential form is:

68724 = 2² × 3² × 23¹ × 83¹

Step-2: 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-3: Factors of 68724

List of positive integer factors of 68724 that divides 68724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 83, 92, 138, 166, 207, 249, 276, 332, 414, 498, 747, 828, 996, 1494, 1909, 2988, 3818, 5727, 7636, 11454, 17181, 22908, 34362

Step-4: Factors of 68736

List of positive integer factors of 68736 that divides 68724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68724 and 68736. The biggest common factor number is the GCF number.
So the greatest common factor 68724 and 68736 is 12.

Also check out the Least Common Multiple of 68724 and 68736