What is the Greatest Common Factor of 15049 and 15064?

Greatest common factor (GCF) of 15049 and 15064 is 1.

GCF(15049,15064) = 1

We will now calculate the prime factors of 15049 and 15064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15049 and 15064.

How to find the GCF of 15049 and 15064?

We will first find the prime factorization of 15049 and 15064. After we will calculate the factors of 15049 and 15064 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 15064

Prime factors of 15064 are 2, 7, 269. Prime factorization of 15064 in exponential form is:

15064 = 2³ × 7¹ × 269¹

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 15064

List of positive integer factors of 15064 that divides 15049 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 269, 538, 1076, 1883, 2152, 3766, 7532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15049 and 15064. The biggest common factor number is the GCF number.
So the greatest common factor 15049 and 15064 is 1.

Also check out the Least Common Multiple of 15049 and 15064