What is the Greatest Common Factor of 47190 and 47201?

Greatest common factor (GCF) of 47190 and 47201 is 11.

GCF(47190,47201) = 11

We will now calculate the prime factors of 47190 and 47201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47190 and 47201.

How to find the GCF of 47190 and 47201?

We will first find the prime factorization of 47190 and 47201. After we will calculate the factors of 47190 and 47201 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 47201

Prime factors of 47201 are 7, 11, 613. Prime factorization of 47201 in exponential form is:

47201 = 7¹ × 11¹ × 613¹

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 47201

List of positive integer factors of 47201 that divides 47190 without a remainder.

1, 7, 11, 77, 613, 4291, 6743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47190 and 47201. The biggest common factor number is the GCF number.
So the greatest common factor 47190 and 47201 is 11.

Also check out the Least Common Multiple of 47190 and 47201