What is the Greatest Common Factor of 15040 and 15058?

Greatest common factor (GCF) of 15040 and 15058 is 2.

GCF(15040,15058) = 2

We will now calculate the prime factors of 15040 and 15058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15040 and 15058.

How to find the GCF of 15040 and 15058?

We will first find the prime factorization of 15040 and 15058. After we will calculate the factors of 15040 and 15058 and find the biggest common factor number .

Step-1: Prime Factorization of 15040

Prime factors of 15040 are 2, 5, 47. Prime factorization of 15040 in exponential form is:

15040 = 2⁶ × 5¹ × 47¹

Step-2: Prime Factorization of 15058

Prime factors of 15058 are 2, 7529. Prime factorization of 15058 in exponential form is:

15058 = 2¹ × 7529¹

Step-3: Factors of 15040

List of positive integer factors of 15040 that divides 15040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 160, 188, 235, 320, 376, 470, 752, 940, 1504, 1880, 3008, 3760, 7520

Step-4: Factors of 15058

List of positive integer factors of 15058 that divides 15040 without a remainder.

1, 2, 7529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15040 and 15058. The biggest common factor number is the GCF number.
So the greatest common factor 15040 and 15058 is 2.

Also check out the Least Common Multiple of 15040 and 15058