What is the Greatest Common Factor of 47138 and 47155?

Greatest common factor (GCF) of 47138 and 47155 is 1.

GCF(47138,47155) = 1

We will now calculate the prime factors of 47138 and 47155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47138 and 47155.

How to find the GCF of 47138 and 47155?

We will first find the prime factorization of 47138 and 47155. After we will calculate the factors of 47138 and 47155 and find the biggest common factor number .

Step-1: Prime Factorization of 47138

Prime factors of 47138 are 2, 7, 13, 37. Prime factorization of 47138 in exponential form is:

47138 = 2¹ × 7² × 13¹ × 37¹

Step-2: Prime Factorization of 47155

Prime factors of 47155 are 5, 9431. Prime factorization of 47155 in exponential form is:

47155 = 5¹ × 9431¹

Step-3: Factors of 47138

List of positive integer factors of 47138 that divides 47138 without a remainder.

1, 2, 7, 13, 14, 26, 37, 49, 74, 91, 98, 182, 259, 481, 518, 637, 962, 1274, 1813, 3367, 3626, 6734, 23569

Step-4: Factors of 47155

List of positive integer factors of 47155 that divides 47138 without a remainder.

1, 5, 9431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47138 and 47155. The biggest common factor number is the GCF number.
So the greatest common factor 47138 and 47155 is 1.

Also check out the Least Common Multiple of 47138 and 47155