What is the Greatest Common Factor of 47272 and 47290?

Greatest common factor (GCF) of 47272 and 47290 is 2.

GCF(47272,47290) = 2

We will now calculate the prime factors of 47272 and 47290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47272 and 47290.

How to find the GCF of 47272 and 47290?

We will first find the prime factorization of 47272 and 47290. After we will calculate the factors of 47272 and 47290 and find the biggest common factor number .

Step-1: Prime Factorization of 47272

Prime factors of 47272 are 2, 19, 311. Prime factorization of 47272 in exponential form is:

47272 = 2³ × 19¹ × 311¹

Step-2: Prime Factorization of 47290

Prime factors of 47290 are 2, 5, 4729. Prime factorization of 47290 in exponential form is:

47290 = 2¹ × 5¹ × 4729¹

Step-3: Factors of 47272

List of positive integer factors of 47272 that divides 47272 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 311, 622, 1244, 2488, 5909, 11818, 23636

Step-4: Factors of 47290

List of positive integer factors of 47290 that divides 47272 without a remainder.

1, 2, 5, 10, 4729, 9458, 23645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47272 and 47290. The biggest common factor number is the GCF number.
So the greatest common factor 47272 and 47290 is 2.

Also check out the Least Common Multiple of 47272 and 47290