What is the Greatest Common Factor of 96129 and 96136?

Greatest common factor (GCF) of 96129 and 96136 is 1.

GCF(96129,96136) = 1

We will now calculate the prime factors of 96129 and 96136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96129 and 96136.

How to find the GCF of 96129 and 96136?

We will first find the prime factorization of 96129 and 96136. After we will calculate the factors of 96129 and 96136 and find the biggest common factor number .

Step-1: Prime Factorization of 96129

Prime factors of 96129 are 3, 11, 971. Prime factorization of 96129 in exponential form is:

96129 = 3² × 11¹ × 971¹

Step-2: Prime Factorization of 96136

Prime factors of 96136 are 2, 61, 197. Prime factorization of 96136 in exponential form is:

96136 = 2³ × 61¹ × 197¹

Step-3: Factors of 96129

List of positive integer factors of 96129 that divides 96129 without a remainder.

1, 3, 9, 11, 33, 99, 971, 2913, 8739, 10681, 32043

Step-4: Factors of 96136

List of positive integer factors of 96136 that divides 96129 without a remainder.

1, 2, 4, 8, 61, 122, 197, 244, 394, 488, 788, 1576, 12017, 24034, 48068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96129 and 96136. The biggest common factor number is the GCF number.
So the greatest common factor 96129 and 96136 is 1.

Also check out the Least Common Multiple of 96129 and 96136