What is the Greatest Common Factor of 15064 and 15071?

Greatest common factor (GCF) of 15064 and 15071 is 7.

GCF(15064,15071) = 7

We will now calculate the prime factors of 15064 and 15071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15064 and 15071.

How to find the GCF of 15064 and 15071?

We will first find the prime factorization of 15064 and 15071. After we will calculate the factors of 15064 and 15071 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15071

Prime factors of 15071 are 7, 2153. Prime factorization of 15071 in exponential form is:

15071 = 7¹ × 2153¹

Step-3: Factors of 15064

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

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

Step-4: Factors of 15071

List of positive integer factors of 15071 that divides 15064 without a remainder.

1, 7, 2153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15064 and 15071. The biggest common factor number is the GCF number.
So the greatest common factor 15064 and 15071 is 7.

Also check out the Least Common Multiple of 15064 and 15071