What is the Greatest Common Factor of 15092 and 15099?

Greatest common factor (GCF) of 15092 and 15099 is 7.

GCF(15092,15099) = 7

We will now calculate the prime factors of 15092 and 15099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15092 and 15099.

How to find the GCF of 15092 and 15099?

We will first find the prime factorization of 15092 and 15099. After we will calculate the factors of 15092 and 15099 and find the biggest common factor number .

Step-1: Prime Factorization of 15092

Prime factors of 15092 are 2, 7, 11. Prime factorization of 15092 in exponential form is:

15092 = 2² × 7³ × 11¹

Step-2: Prime Factorization of 15099

Prime factors of 15099 are 3, 7, 719. Prime factorization of 15099 in exponential form is:

15099 = 3¹ × 7¹ × 719¹

Step-3: Factors of 15092

List of positive integer factors of 15092 that divides 15092 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 343, 539, 686, 1078, 1372, 2156, 3773, 7546

Step-4: Factors of 15099

List of positive integer factors of 15099 that divides 15092 without a remainder.

1, 3, 7, 21, 719, 2157, 5033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15092 and 15099. The biggest common factor number is the GCF number.
So the greatest common factor 15092 and 15099 is 7.

Also check out the Least Common Multiple of 15092 and 15099