What is the Greatest Common Factor of 78746 and 78764?

Greatest common factor (GCF) of 78746 and 78764 is 2.

GCF(78746,78764) = 2

We will now calculate the prime factors of 78746 and 78764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78746 and 78764.

How to find the GCF of 78746 and 78764?

We will first find the prime factorization of 78746 and 78764. After we will calculate the factors of 78746 and 78764 and find the biggest common factor number .

Step-1: Prime Factorization of 78746

Prime factors of 78746 are 2, 39373. Prime factorization of 78746 in exponential form is:

78746 = 2¹ × 39373¹

Step-2: Prime Factorization of 78764

Prime factors of 78764 are 2, 7, 29, 97. Prime factorization of 78764 in exponential form is:

78764 = 2² × 7¹ × 29¹ × 97¹

Step-3: Factors of 78746

List of positive integer factors of 78746 that divides 78746 without a remainder.

1, 2, 39373

Step-4: Factors of 78764

List of positive integer factors of 78764 that divides 78746 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 97, 116, 194, 203, 388, 406, 679, 812, 1358, 2716, 2813, 5626, 11252, 19691, 39382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78746 and 78764. The biggest common factor number is the GCF number.
So the greatest common factor 78746 and 78764 is 2.

Also check out the Least Common Multiple of 78746 and 78764