What is the Greatest Common Factor of 47179 and 47190?

Greatest common factor (GCF) of 47179 and 47190 is 11.

GCF(47179,47190) = 11

We will now calculate the prime factors of 47179 and 47190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47179 and 47190.

How to find the GCF of 47179 and 47190?

We will first find the prime factorization of 47179 and 47190. After we will calculate the factors of 47179 and 47190 and find the biggest common factor number .

Step-1: Prime Factorization of 47179

Prime factors of 47179 are 11, 4289. Prime factorization of 47179 in exponential form is:

47179 = 11¹ × 4289¹

Step-2: 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-3: Factors of 47179

List of positive integer factors of 47179 that divides 47179 without a remainder.

1, 11, 4289

Step-4: Factors of 47190

List of positive integer factors of 47190 that divides 47179 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47179 and 47190. The biggest common factor number is the GCF number.
So the greatest common factor 47179 and 47190 is 11.

Also check out the Least Common Multiple of 47179 and 47190