What is the Greatest Common Factor of 96138 and 96149?

Greatest common factor (GCF) of 96138 and 96149 is 1.

GCF(96138,96149) = 1

We will now calculate the prime factors of 96138 and 96149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96138 and 96149.

How to find the GCF of 96138 and 96149?

We will first find the prime factorization of 96138 and 96149. After we will calculate the factors of 96138 and 96149 and find the biggest common factor number .

Step-1: Prime Factorization of 96138

Prime factors of 96138 are 2, 3, 7, 109. Prime factorization of 96138 in exponential form is:

96138 = 2¹ × 3² × 7² × 109¹

Step-2: Prime Factorization of 96149

Prime factors of 96149 are 96149. Prime factorization of 96149 in exponential form is:

96149 = 96149¹

Step-3: Factors of 96138

List of positive integer factors of 96138 that divides 96138 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 109, 126, 147, 218, 294, 327, 441, 654, 763, 882, 981, 1526, 1962, 2289, 4578, 5341, 6867, 10682, 13734, 16023, 32046, 48069

Step-4: Factors of 96149

List of positive integer factors of 96149 that divides 96138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96138 and 96149. The biggest common factor number is the GCF number.
So the greatest common factor 96138 and 96149 is 1.

Also check out the Least Common Multiple of 96138 and 96149