What is the Greatest Common Factor of 78694 and 78714?

Greatest common factor (GCF) of 78694 and 78714 is 2.

GCF(78694,78714) = 2

We will now calculate the prime factors of 78694 and 78714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78694 and 78714.

How to find the GCF of 78694 and 78714?

We will first find the prime factorization of 78694 and 78714. After we will calculate the factors of 78694 and 78714 and find the biggest common factor number .

Step-1: Prime Factorization of 78694

Prime factors of 78694 are 2, 7, 11, 73. Prime factorization of 78694 in exponential form is:

78694 = 2¹ × 7² × 11¹ × 73¹

Step-2: 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-3: Factors of 78694

List of positive integer factors of 78694 that divides 78694 without a remainder.

1, 2, 7, 11, 14, 22, 49, 73, 77, 98, 146, 154, 511, 539, 803, 1022, 1078, 1606, 3577, 5621, 7154, 11242, 39347

Step-4: Factors of 78714

List of positive integer factors of 78714 that divides 78694 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78694 and 78714. The biggest common factor number is the GCF number.
So the greatest common factor 78694 and 78714 is 2.

Also check out the Least Common Multiple of 78694 and 78714