What is the Greatest Common Factor of 15148 and 15162?

Greatest common factor (GCF) of 15148 and 15162 is 14.

GCF(15148,15162) = 14

We will now calculate the prime factors of 15148 and 15162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15148 and 15162.

How to find the GCF of 15148 and 15162?

We will first find the prime factorization of 15148 and 15162. After we will calculate the factors of 15148 and 15162 and find the biggest common factor number .

Step-1: Prime Factorization of 15148

Prime factors of 15148 are 2, 7, 541. Prime factorization of 15148 in exponential form is:

15148 = 2² × 7¹ × 541¹

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 15148

List of positive integer factors of 15148 that divides 15148 without a remainder.

1, 2, 4, 7, 14, 28, 541, 1082, 2164, 3787, 7574

Step-4: Factors of 15162

List of positive integer factors of 15162 that divides 15148 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 15148 and 15162. The biggest common factor number is the GCF number.
So the greatest common factor 15148 and 15162 is 14.

Also check out the Least Common Multiple of 15148 and 15162