What is the Greatest Common Factor of 12136 and 12154?

Greatest common factor (GCF) of 12136 and 12154 is 2.

GCF(12136,12154) = 2

We will now calculate the prime factors of 12136 and 12154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12136 and 12154.

How to find the GCF of 12136 and 12154?

We will first find the prime factorization of 12136 and 12154. After we will calculate the factors of 12136 and 12154 and find the biggest common factor number .

Step-1: Prime Factorization of 12136

Prime factors of 12136 are 2, 37, 41. Prime factorization of 12136 in exponential form is:

12136 = 2³ × 37¹ × 41¹

Step-2: Prime Factorization of 12154

Prime factors of 12154 are 2, 59, 103. Prime factorization of 12154 in exponential form is:

12154 = 2¹ × 59¹ × 103¹

Step-3: Factors of 12136

List of positive integer factors of 12136 that divides 12136 without a remainder.

1, 2, 4, 8, 37, 41, 74, 82, 148, 164, 296, 328, 1517, 3034, 6068

Step-4: Factors of 12154

List of positive integer factors of 12154 that divides 12136 without a remainder.

1, 2, 59, 103, 118, 206, 6077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12136 and 12154. The biggest common factor number is the GCF number.
So the greatest common factor 12136 and 12154 is 2.

Also check out the Least Common Multiple of 12136 and 12154