What is the Greatest Common Factor of 47038 and 47058?

Greatest common factor (GCF) of 47038 and 47058 is 2.

GCF(47038,47058) = 2

We will now calculate the prime factors of 47038 and 47058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47038 and 47058.

How to find the GCF of 47038 and 47058?

We will first find the prime factorization of 47038 and 47058. After we will calculate the factors of 47038 and 47058 and find the biggest common factor number .

Step-1: Prime Factorization of 47038

Prime factors of 47038 are 2, 29, 811. Prime factorization of 47038 in exponential form is:

47038 = 2¹ × 29¹ × 811¹

Step-2: Prime Factorization of 47058

Prime factors of 47058 are 2, 3, 11, 23, 31. Prime factorization of 47058 in exponential form is:

47058 = 2¹ × 3¹ × 11¹ × 23¹ × 31¹

Step-3: Factors of 47038

List of positive integer factors of 47038 that divides 47038 without a remainder.

1, 2, 29, 58, 811, 1622, 23519

Step-4: Factors of 47058

List of positive integer factors of 47058 that divides 47038 without a remainder.

1, 2, 3, 6, 11, 22, 23, 31, 33, 46, 62, 66, 69, 93, 138, 186, 253, 341, 506, 682, 713, 759, 1023, 1426, 1518, 2046, 2139, 4278, 7843, 15686, 23529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47038 and 47058. The biggest common factor number is the GCF number.
So the greatest common factor 47038 and 47058 is 2.

Also check out the Least Common Multiple of 47038 and 47058