What is the Greatest Common Factor of 47025 and 47036?

Greatest common factor (GCF) of 47025 and 47036 is 11.

GCF(47025,47036) = 11

We will now calculate the prime factors of 47025 and 47036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47025 and 47036.

How to find the GCF of 47025 and 47036?

We will first find the prime factorization of 47025 and 47036. After we will calculate the factors of 47025 and 47036 and find the biggest common factor number .

Step-1: Prime Factorization of 47025

Prime factors of 47025 are 3, 5, 11, 19. Prime factorization of 47025 in exponential form is:

47025 = 3² × 5² × 11¹ × 19¹

Step-2: Prime Factorization of 47036

Prime factors of 47036 are 2, 11, 1069. Prime factorization of 47036 in exponential form is:

47036 = 2² × 11¹ × 1069¹

Step-3: Factors of 47025

List of positive integer factors of 47025 that divides 47025 without a remainder.

1, 3, 5, 9, 11, 15, 19, 25, 33, 45, 55, 57, 75, 95, 99, 165, 171, 209, 225, 275, 285, 475, 495, 627, 825, 855, 1045, 1425, 1881, 2475, 3135, 4275, 5225, 9405, 15675

Step-4: Factors of 47036

List of positive integer factors of 47036 that divides 47025 without a remainder.

1, 2, 4, 11, 22, 44, 1069, 2138, 4276, 11759, 23518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47025 and 47036. The biggest common factor number is the GCF number.
So the greatest common factor 47025 and 47036 is 11.

Also check out the Least Common Multiple of 47025 and 47036