What is the Greatest Common Factor of 78714 and 78729?

Greatest common factor (GCF) of 78714 and 78729 is 3.

GCF(78714,78729) = 3

We will now calculate the prime factors of 78714 and 78729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78714 and 78729.

How to find the GCF of 78714 and 78729?

We will first find the prime factorization of 78714 and 78729. After we will calculate the factors of 78714 and 78729 and find the biggest common factor number .

Step-1: Prime Factorization of 78714

Prime factors of 78714 are 2, 3, 4373. Prime factorization of 78714 in exponential form is:

78714 = 2¹ × 3² × 4373¹

Step-2: Prime Factorization of 78729

Prime factors of 78729 are 3, 7, 23, 163. Prime factorization of 78729 in exponential form is:

78729 = 3¹ × 7¹ × 23¹ × 163¹

Step-3: Factors of 78714

List of positive integer factors of 78714 that divides 78714 without a remainder.

1, 2, 3, 6, 9, 18, 4373, 8746, 13119, 26238, 39357

Step-4: Factors of 78729

List of positive integer factors of 78729 that divides 78714 without a remainder.

1, 3, 7, 21, 23, 69, 161, 163, 483, 489, 1141, 3423, 3749, 11247, 26243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78714 and 78729. The biggest common factor number is the GCF number.
So the greatest common factor 78714 and 78729 is 3.

Also check out the Least Common Multiple of 78714 and 78729