What is the Greatest Common Factor of 96138 and 96145?

Greatest common factor (GCF) of 96138 and 96145 is 7.

GCF(96138,96145) = 7

We will now calculate the prime factors of 96138 and 96145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96138 and 96145.

How to find the GCF of 96138 and 96145?

We will first find the prime factorization of 96138 and 96145. After we will calculate the factors of 96138 and 96145 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 96145

Prime factors of 96145 are 5, 7, 41, 67. Prime factorization of 96145 in exponential form is:

96145 = 5¹ × 7¹ × 41¹ × 67¹

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 96145

List of positive integer factors of 96145 that divides 96138 without a remainder.

1, 5, 7, 35, 41, 67, 205, 287, 335, 469, 1435, 2345, 2747, 13735, 19229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96138 and 96145. The biggest common factor number is the GCF number.
So the greatest common factor 96138 and 96145 is 7.

Also check out the Least Common Multiple of 96138 and 96145