What is the Greatest Common Factor of 96138 and 96152?

Greatest common factor (GCF) of 96138 and 96152 is 14.

GCF(96138,96152) = 14

We will now calculate the prime factors of 96138 and 96152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96138 and 96152.

How to find the GCF of 96138 and 96152?

We will first find the prime factorization of 96138 and 96152. After we will calculate the factors of 96138 and 96152 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 96152

Prime factors of 96152 are 2, 7, 17, 101. Prime factorization of 96152 in exponential form is:

96152 = 2³ × 7¹ × 17¹ × 101¹

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 96152

List of positive integer factors of 96152 that divides 96138 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 101, 119, 136, 202, 238, 404, 476, 707, 808, 952, 1414, 1717, 2828, 3434, 5656, 6868, 12019, 13736, 24038, 48076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96138 and 96152. The biggest common factor number is the GCF number.
So the greatest common factor 96138 and 96152 is 14.

Also check out the Least Common Multiple of 96138 and 96152