What is the Greatest Common Factor of 47190 and 47205?

Greatest common factor (GCF) of 47190 and 47205 is 15.

GCF(47190,47205) = 15

We will now calculate the prime factors of 47190 and 47205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47190 and 47205.

How to find the GCF of 47190 and 47205?

We will first find the prime factorization of 47190 and 47205. After we will calculate the factors of 47190 and 47205 and find the biggest common factor number .

Step-1: Prime Factorization of 47190

Prime factors of 47190 are 2, 3, 5, 11, 13. Prime factorization of 47190 in exponential form is:

47190 = 2¹ × 3¹ × 5¹ × 11² × 13¹

Step-2: 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-3: Factors of 47190

List of positive integer factors of 47190 that divides 47190 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 121, 130, 143, 165, 195, 242, 286, 330, 363, 390, 429, 605, 715, 726, 858, 1210, 1430, 1573, 1815, 2145, 3146, 3630, 4290, 4719, 7865, 9438, 15730, 23595

Step-4: Factors of 47205

List of positive integer factors of 47205 that divides 47190 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47190 and 47205. The biggest common factor number is the GCF number.
So the greatest common factor 47190 and 47205 is 15.

Also check out the Least Common Multiple of 47190 and 47205