What is the Greatest Common Factor of 47126 and 47138?

Greatest common factor (GCF) of 47126 and 47138 is 2.

GCF(47126,47138) = 2

We will now calculate the prime factors of 47126 and 47138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47126 and 47138.

How to find the GCF of 47126 and 47138?

We will first find the prime factorization of 47126 and 47138. After we will calculate the factors of 47126 and 47138 and find the biggest common factor number .

Step-1: Prime Factorization of 47126

Prime factors of 47126 are 2, 23563. Prime factorization of 47126 in exponential form is:

47126 = 2¹ × 23563¹

Step-2: 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-3: Factors of 47126

List of positive integer factors of 47126 that divides 47126 without a remainder.

1, 2, 23563

Step-4: Factors of 47138

List of positive integer factors of 47138 that divides 47126 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47126 and 47138. The biggest common factor number is the GCF number.
So the greatest common factor 47126 and 47138 is 2.

Also check out the Least Common Multiple of 47126 and 47138