What is the Greatest Common Factor of 47270 and 47286?

Greatest common factor (GCF) of 47270 and 47286 is 2.

GCF(47270,47286) = 2

We will now calculate the prime factors of 47270 and 47286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47270 and 47286.

How to find the GCF of 47270 and 47286?

We will first find the prime factorization of 47270 and 47286. After we will calculate the factors of 47270 and 47286 and find the biggest common factor number .

Step-1: Prime Factorization of 47270

Prime factors of 47270 are 2, 5, 29, 163. Prime factorization of 47270 in exponential form is:

47270 = 2¹ × 5¹ × 29¹ × 163¹

Step-2: Prime Factorization of 47286

Prime factors of 47286 are 2, 3, 37, 71. Prime factorization of 47286 in exponential form is:

47286 = 2¹ × 3² × 37¹ × 71¹

Step-3: Factors of 47270

List of positive integer factors of 47270 that divides 47270 without a remainder.

1, 2, 5, 10, 29, 58, 145, 163, 290, 326, 815, 1630, 4727, 9454, 23635

Step-4: Factors of 47286

List of positive integer factors of 47286 that divides 47270 without a remainder.

1, 2, 3, 6, 9, 18, 37, 71, 74, 111, 142, 213, 222, 333, 426, 639, 666, 1278, 2627, 5254, 7881, 15762, 23643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47270 and 47286. The biggest common factor number is the GCF number.
So the greatest common factor 47270 and 47286 is 2.

Also check out the Least Common Multiple of 47270 and 47286