What is the Greatest Common Factor of 12152 and 12169?

Greatest common factor (GCF) of 12152 and 12169 is 1.

GCF(12152,12169) = 1

We will now calculate the prime factors of 12152 and 12169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12152 and 12169.

How to find the GCF of 12152 and 12169?

We will first find the prime factorization of 12152 and 12169. After we will calculate the factors of 12152 and 12169 and find the biggest common factor number .

Step-1: Prime Factorization of 12152

Prime factors of 12152 are 2, 7, 31. Prime factorization of 12152 in exponential form is:

12152 = 2³ × 7² × 31¹

Step-2: Prime Factorization of 12169

Prime factors of 12169 are 43, 283. Prime factorization of 12169 in exponential form is:

12169 = 43¹ × 283¹

Step-3: Factors of 12152

List of positive integer factors of 12152 that divides 12152 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 49, 56, 62, 98, 124, 196, 217, 248, 392, 434, 868, 1519, 1736, 3038, 6076

Step-4: Factors of 12169

List of positive integer factors of 12169 that divides 12152 without a remainder.

1, 43, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12152 and 12169. The biggest common factor number is the GCF number.
So the greatest common factor 12152 and 12169 is 1.

Also check out the Least Common Multiple of 12152 and 12169