What is the Greatest Common Factor of 15036 and 15049?

Greatest common factor (GCF) of 15036 and 15049 is 1.

GCF(15036,15049) = 1

We will now calculate the prime factors of 15036 and 15049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15036 and 15049.

How to find the GCF of 15036 and 15049?

We will first find the prime factorization of 15036 and 15049. After we will calculate the factors of 15036 and 15049 and find the biggest common factor number .

Step-1: Prime Factorization of 15036

Prime factors of 15036 are 2, 3, 7, 179. Prime factorization of 15036 in exponential form is:

15036 = 2² × 3¹ × 7¹ × 179¹

Step-2: Prime Factorization of 15049

Prime factors of 15049 are 101, 149. Prime factorization of 15049 in exponential form is:

15049 = 101¹ × 149¹

Step-3: Factors of 15036

List of positive integer factors of 15036 that divides 15036 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 179, 358, 537, 716, 1074, 1253, 2148, 2506, 3759, 5012, 7518

Step-4: Factors of 15049

List of positive integer factors of 15049 that divides 15036 without a remainder.

1, 101, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15036 and 15049. The biggest common factor number is the GCF number.
So the greatest common factor 15036 and 15049 is 1.

Also check out the Least Common Multiple of 15036 and 15049