What is the Greatest Common Factor of 47190 and 47208?

Greatest common factor (GCF) of 47190 and 47208 is 6.

GCF(47190,47208) = 6

We will now calculate the prime factors of 47190 and 47208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47190 and 47208.

How to find the GCF of 47190 and 47208?

We will first find the prime factorization of 47190 and 47208. After we will calculate the factors of 47190 and 47208 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 47208

Prime factors of 47208 are 2, 3, 7, 281. Prime factorization of 47208 in exponential form is:

47208 = 2³ × 3¹ × 7¹ × 281¹

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 47208

List of positive integer factors of 47208 that divides 47190 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 281, 562, 843, 1124, 1686, 1967, 2248, 3372, 3934, 5901, 6744, 7868, 11802, 15736, 23604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47190 and 47208. The biggest common factor number is the GCF number.
So the greatest common factor 47190 and 47208 is 6.

Also check out the Least Common Multiple of 47190 and 47208