What is the Greatest Common Factor of 86728 and 86738?

Greatest common factor (GCF) of 86728 and 86738 is 2.

GCF(86728,86738) = 2

We will now calculate the prime factors of 86728 and 86738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86728 and 86738.

How to find the GCF of 86728 and 86738?

We will first find the prime factorization of 86728 and 86738. After we will calculate the factors of 86728 and 86738 and find the biggest common factor number .

Step-1: Prime Factorization of 86728

Prime factors of 86728 are 2, 37, 293. Prime factorization of 86728 in exponential form is:

86728 = 2³ × 37¹ × 293¹

Step-2: Prime Factorization of 86738

Prime factors of 86738 are 2, 31, 1399. Prime factorization of 86738 in exponential form is:

86738 = 2¹ × 31¹ × 1399¹

Step-3: Factors of 86728

List of positive integer factors of 86728 that divides 86728 without a remainder.

1, 2, 4, 8, 37, 74, 148, 293, 296, 586, 1172, 2344, 10841, 21682, 43364

Step-4: Factors of 86738

List of positive integer factors of 86738 that divides 86728 without a remainder.

1, 2, 31, 62, 1399, 2798, 43369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86728 and 86738. The biggest common factor number is the GCF number.
So the greatest common factor 86728 and 86738 is 2.

Also check out the Least Common Multiple of 86728 and 86738