What is the Greatest Common Factor of 47260 and 47275?

Greatest common factor (GCF) of 47260 and 47275 is 5.

GCF(47260,47275) = 5

We will now calculate the prime factors of 47260 and 47275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47260 and 47275.

How to find the GCF of 47260 and 47275?

We will first find the prime factorization of 47260 and 47275. After we will calculate the factors of 47260 and 47275 and find the biggest common factor number .

Step-1: Prime Factorization of 47260

Prime factors of 47260 are 2, 5, 17, 139. Prime factorization of 47260 in exponential form is:

47260 = 2² × 5¹ × 17¹ × 139¹

Step-2: Prime Factorization of 47275

Prime factors of 47275 are 5, 31, 61. Prime factorization of 47275 in exponential form is:

47275 = 5² × 31¹ × 61¹

Step-3: Factors of 47260

List of positive integer factors of 47260 that divides 47260 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 139, 170, 278, 340, 556, 695, 1390, 2363, 2780, 4726, 9452, 11815, 23630

Step-4: Factors of 47275

List of positive integer factors of 47275 that divides 47260 without a remainder.

1, 5, 25, 31, 61, 155, 305, 775, 1525, 1891, 9455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47260 and 47275. The biggest common factor number is the GCF number.
So the greatest common factor 47260 and 47275 is 5.

Also check out the Least Common Multiple of 47260 and 47275