What is the Greatest Common Factor of 15146 and 15164?

Greatest common factor (GCF) of 15146 and 15164 is 2.

GCF(15146,15164) = 2

We will now calculate the prime factors of 15146 and 15164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15146 and 15164.

How to find the GCF of 15146 and 15164?

We will first find the prime factorization of 15146 and 15164. After we will calculate the factors of 15146 and 15164 and find the biggest common factor number .

Step-1: Prime Factorization of 15146

Prime factors of 15146 are 2, 7573. Prime factorization of 15146 in exponential form is:

15146 = 2¹ × 7573¹

Step-2: Prime Factorization of 15164

Prime factors of 15164 are 2, 17, 223. Prime factorization of 15164 in exponential form is:

15164 = 2² × 17¹ × 223¹

Step-3: Factors of 15146

List of positive integer factors of 15146 that divides 15146 without a remainder.

1, 2, 7573

Step-4: Factors of 15164

List of positive integer factors of 15164 that divides 15146 without a remainder.

1, 2, 4, 17, 34, 68, 223, 446, 892, 3791, 7582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15146 and 15164. The biggest common factor number is the GCF number.
So the greatest common factor 15146 and 15164 is 2.

Also check out the Least Common Multiple of 15146 and 15164