What is the Greatest Common Factor of 96728 and 96746?

Greatest common factor (GCF) of 96728 and 96746 is 2.

GCF(96728,96746) = 2

We will now calculate the prime factors of 96728 and 96746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96728 and 96746.

How to find the GCF of 96728 and 96746?

We will first find the prime factorization of 96728 and 96746. After we will calculate the factors of 96728 and 96746 and find the biggest common factor number .

Step-1: Prime Factorization of 96728

Prime factors of 96728 are 2, 107, 113. Prime factorization of 96728 in exponential form is:

96728 = 2³ × 107¹ × 113¹

Step-2: Prime Factorization of 96746

Prime factors of 96746 are 2, 13, 61. Prime factorization of 96746 in exponential form is:

96746 = 2¹ × 13¹ × 61²

Step-3: Factors of 96728

List of positive integer factors of 96728 that divides 96728 without a remainder.

1, 2, 4, 8, 107, 113, 214, 226, 428, 452, 856, 904, 12091, 24182, 48364

Step-4: Factors of 96746

List of positive integer factors of 96746 that divides 96728 without a remainder.

1, 2, 13, 26, 61, 122, 793, 1586, 3721, 7442, 48373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96728 and 96746. The biggest common factor number is the GCF number.
So the greatest common factor 96728 and 96746 is 2.

Also check out the Least Common Multiple of 96728 and 96746