What is the Greatest Common Factor of 47090 and 47095?

Greatest common factor (GCF) of 47090 and 47095 is 5.

GCF(47090,47095) = 5

We will now calculate the prime factors of 47090 and 47095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47090 and 47095.

How to find the GCF of 47090 and 47095?

We will first find the prime factorization of 47090 and 47095. After we will calculate the factors of 47090 and 47095 and find the biggest common factor number .

Step-1: Prime Factorization of 47090

Prime factors of 47090 are 2, 5, 17, 277. Prime factorization of 47090 in exponential form is:

47090 = 2¹ × 5¹ × 17¹ × 277¹

Step-2: Prime Factorization of 47095

Prime factors of 47095 are 5, 9419. Prime factorization of 47095 in exponential form is:

47095 = 5¹ × 9419¹

Step-3: Factors of 47090

List of positive integer factors of 47090 that divides 47090 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 277, 554, 1385, 2770, 4709, 9418, 23545

Step-4: Factors of 47095

List of positive integer factors of 47095 that divides 47090 without a remainder.

1, 5, 9419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47090 and 47095. The biggest common factor number is the GCF number.
So the greatest common factor 47090 and 47095 is 5.

Also check out the Least Common Multiple of 47090 and 47095