What is the Greatest Common Factor of 15049 and 15067?

Greatest common factor (GCF) of 15049 and 15067 is 1.

GCF(15049,15067) = 1

We will now calculate the prime factors of 15049 and 15067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15049 and 15067.

How to find the GCF of 15049 and 15067?

We will first find the prime factorization of 15049 and 15067. After we will calculate the factors of 15049 and 15067 and find the biggest common factor number .

Step-1: Prime Factorization of 15049

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

15049 = 101¹ × 149¹

Step-2: Prime Factorization of 15067

Prime factors of 15067 are 13, 19, 61. Prime factorization of 15067 in exponential form is:

15067 = 13¹ × 19¹ × 61¹

Step-3: Factors of 15049

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

1, 101, 149

Step-4: Factors of 15067

List of positive integer factors of 15067 that divides 15049 without a remainder.

1, 13, 19, 61, 247, 793, 1159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15049 and 15067. The biggest common factor number is the GCF number.
So the greatest common factor 15049 and 15067 is 1.

Also check out the Least Common Multiple of 15049 and 15067