What is the Greatest Common Factor of 15176 and 15190?

Greatest common factor (GCF) of 15176 and 15190 is 14.

GCF(15176,15190) = 14

We will now calculate the prime factors of 15176 and 15190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15176 and 15190.

How to find the GCF of 15176 and 15190?

We will first find the prime factorization of 15176 and 15190. After we will calculate the factors of 15176 and 15190 and find the biggest common factor number .

Step-1: Prime Factorization of 15176

Prime factors of 15176 are 2, 7, 271. Prime factorization of 15176 in exponential form is:

15176 = 2³ × 7¹ × 271¹

Step-2: Prime Factorization of 15190

Prime factors of 15190 are 2, 5, 7, 31. Prime factorization of 15190 in exponential form is:

15190 = 2¹ × 5¹ × 7² × 31¹

Step-3: Factors of 15176

List of positive integer factors of 15176 that divides 15176 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588

Step-4: Factors of 15190

List of positive integer factors of 15190 that divides 15176 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15176 and 15190. The biggest common factor number is the GCF number.
So the greatest common factor 15176 and 15190 is 14.

Also check out the Least Common Multiple of 15176 and 15190