What is the Greatest Common Factor of 78728 and 78746?

Greatest common factor (GCF) of 78728 and 78746 is 2.

GCF(78728,78746) = 2

We will now calculate the prime factors of 78728 and 78746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78728 and 78746.

How to find the GCF of 78728 and 78746?

We will first find the prime factorization of 78728 and 78746. After we will calculate the factors of 78728 and 78746 and find the biggest common factor number .

Step-1: Prime Factorization of 78728

Prime factors of 78728 are 2, 13, 757. Prime factorization of 78728 in exponential form is:

78728 = 2³ × 13¹ × 757¹

Step-2: Prime Factorization of 78746

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

78746 = 2¹ × 39373¹

Step-3: Factors of 78728

List of positive integer factors of 78728 that divides 78728 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 757, 1514, 3028, 6056, 9841, 19682, 39364

Step-4: Factors of 78746

List of positive integer factors of 78746 that divides 78728 without a remainder.

1, 2, 39373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78728 and 78746. The biggest common factor number is the GCF number.
So the greatest common factor 78728 and 78746 is 2.

Also check out the Least Common Multiple of 78728 and 78746