What is the Greatest Common Factor of 15146 and 15162?

Greatest common factor (GCF) of 15146 and 15162 is 2.

GCF(15146,15162) = 2

We will now calculate the prime factors of 15146 and 15162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15146 and 15162.

How to find the GCF of 15146 and 15162?

We will first find the prime factorization of 15146 and 15162. After we will calculate the factors of 15146 and 15162 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 15162

Prime factors of 15162 are 2, 3, 7, 19. Prime factorization of 15162 in exponential form is:

15162 = 2¹ × 3¹ × 7¹ × 19²

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 15162

List of positive integer factors of 15162 that divides 15146 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 361, 399, 722, 798, 1083, 2166, 2527, 5054, 7581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15146 and 15162. The biggest common factor number is the GCF number.
So the greatest common factor 15146 and 15162 is 2.

Also check out the Least Common Multiple of 15146 and 15162