What is the Greatest Common Factor of 47205 and 47215?

Greatest common factor (GCF) of 47205 and 47215 is 5.

GCF(47205,47215) = 5

We will now calculate the prime factors of 47205 and 47215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47205 and 47215.

How to find the GCF of 47205 and 47215?

We will first find the prime factorization of 47205 and 47215. After we will calculate the factors of 47205 and 47215 and find the biggest common factor number .

Step-1: Prime Factorization of 47205

Prime factors of 47205 are 3, 5, 1049. Prime factorization of 47205 in exponential form is:

47205 = 3² × 5¹ × 1049¹

Step-2: Prime Factorization of 47215

Prime factors of 47215 are 5, 7, 19, 71. Prime factorization of 47215 in exponential form is:

47215 = 5¹ × 7¹ × 19¹ × 71¹

Step-3: Factors of 47205

List of positive integer factors of 47205 that divides 47205 without a remainder.

1, 3, 5, 9, 15, 45, 1049, 3147, 5245, 9441, 15735

Step-4: Factors of 47215

List of positive integer factors of 47215 that divides 47205 without a remainder.

1, 5, 7, 19, 35, 71, 95, 133, 355, 497, 665, 1349, 2485, 6745, 9443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47205 and 47215. The biggest common factor number is the GCF number.
So the greatest common factor 47205 and 47215 is 5.

Also check out the Least Common Multiple of 47205 and 47215