What is the Greatest Common Factor of 47041 and 47058?

Greatest common factor (GCF) of 47041 and 47058 is 1.

GCF(47041,47058) = 1

We will now calculate the prime factors of 47041 and 47058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47041 and 47058.

How to find the GCF of 47041 and 47058?

We will first find the prime factorization of 47041 and 47058. After we will calculate the factors of 47041 and 47058 and find the biggest common factor number .

Step-1: Prime Factorization of 47041

Prime factors of 47041 are 47041. Prime factorization of 47041 in exponential form is:

47041 = 47041¹

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 47041

List of positive integer factors of 47041 that divides 47041 without a remainder.

Step-4: Factors of 47058

List of positive integer factors of 47058 that divides 47041 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 47041 and 47058. The biggest common factor number is the GCF number.
So the greatest common factor 47041 and 47058 is 1.

Also check out the Least Common Multiple of 47041 and 47058