What is the Greatest Common Factor of 15040 and 15052?

Greatest common factor (GCF) of 15040 and 15052 is 4.

GCF(15040,15052) = 4

We will now calculate the prime factors of 15040 and 15052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15040 and 15052.

How to find the GCF of 15040 and 15052?

We will first find the prime factorization of 15040 and 15052. After we will calculate the factors of 15040 and 15052 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 15052

Prime factors of 15052 are 2, 53, 71. Prime factorization of 15052 in exponential form is:

15052 = 2² × 53¹ × 71¹

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 15052

List of positive integer factors of 15052 that divides 15040 without a remainder.

1, 2, 4, 53, 71, 106, 142, 212, 284, 3763, 7526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15040 and 15052. The biggest common factor number is the GCF number.
So the greatest common factor 15040 and 15052 is 4.

Also check out the Least Common Multiple of 15040 and 15052