What is the Greatest Common Factor of 47138 and 47145?

Greatest common factor (GCF) of 47138 and 47145 is 7.

GCF(47138,47145) = 7

We will now calculate the prime factors of 47138 and 47145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47138 and 47145.

How to find the GCF of 47138 and 47145?

We will first find the prime factorization of 47138 and 47145. After we will calculate the factors of 47138 and 47145 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 47145

Prime factors of 47145 are 3, 5, 7, 449. Prime factorization of 47145 in exponential form is:

47145 = 3¹ × 5¹ × 7¹ × 449¹

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 47145

List of positive integer factors of 47145 that divides 47138 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 449, 1347, 2245, 3143, 6735, 9429, 15715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47138 and 47145. The biggest common factor number is the GCF number.
So the greatest common factor 47138 and 47145 is 7.

Also check out the Least Common Multiple of 47138 and 47145