What is the Greatest Common Factor of 47058 and 47069?

Greatest common factor (GCF) of 47058 and 47069 is 11.

GCF(47058,47069) = 11

We will now calculate the prime factors of 47058 and 47069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47058 and 47069.

How to find the GCF of 47058 and 47069?

We will first find the prime factorization of 47058 and 47069. After we will calculate the factors of 47058 and 47069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47069

Prime factors of 47069 are 11, 389. Prime factorization of 47069 in exponential form is:

47069 = 11² × 389¹

Step-3: Factors of 47058

List of positive integer factors of 47058 that divides 47058 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

Step-4: Factors of 47069

List of positive integer factors of 47069 that divides 47058 without a remainder.

1, 11, 121, 389, 4279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47058 and 47069. The biggest common factor number is the GCF number.
So the greatest common factor 47058 and 47069 is 11.

Also check out the Least Common Multiple of 47058 and 47069