What is the Greatest Common Factor of 47005 and 47025?

Greatest common factor (GCF) of 47005 and 47025 is 5.

GCF(47005,47025) = 5

We will now calculate the prime factors of 47005 and 47025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47005 and 47025.

How to find the GCF of 47005 and 47025?

We will first find the prime factorization of 47005 and 47025. After we will calculate the factors of 47005 and 47025 and find the biggest common factor number .

Step-1: Prime Factorization of 47005

Prime factors of 47005 are 5, 7, 17, 79. Prime factorization of 47005 in exponential form is:

47005 = 5¹ × 7¹ × 17¹ × 79¹

Step-2: 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-3: Factors of 47005

List of positive integer factors of 47005 that divides 47005 without a remainder.

1, 5, 7, 17, 35, 79, 85, 119, 395, 553, 595, 1343, 2765, 6715, 9401

Step-4: Factors of 47025

List of positive integer factors of 47025 that divides 47005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47005 and 47025. The biggest common factor number is the GCF number.
So the greatest common factor 47005 and 47025 is 5.

Also check out the Least Common Multiple of 47005 and 47025