What is the Greatest Common Factor of 47366 and 47377?

Greatest common factor (GCF) of 47366 and 47377 is 11.

GCF(47366,47377) = 11

We will now calculate the prime factors of 47366 and 47377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47366 and 47377.

How to find the GCF of 47366 and 47377?

We will first find the prime factorization of 47366 and 47377. After we will calculate the factors of 47366 and 47377 and find the biggest common factor number .

Step-1: Prime Factorization of 47366

Prime factors of 47366 are 2, 11, 2153. Prime factorization of 47366 in exponential form is:

47366 = 2¹ × 11¹ × 2153¹

Step-2: Prime Factorization of 47377

Prime factors of 47377 are 11, 59, 73. Prime factorization of 47377 in exponential form is:

47377 = 11¹ × 59¹ × 73¹

Step-3: Factors of 47366

List of positive integer factors of 47366 that divides 47366 without a remainder.

1, 2, 11, 22, 2153, 4306, 23683

Step-4: Factors of 47377

List of positive integer factors of 47377 that divides 47366 without a remainder.

1, 11, 59, 73, 649, 803, 4307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47366 and 47377. The biggest common factor number is the GCF number.
So the greatest common factor 47366 and 47377 is 11.

Also check out the Least Common Multiple of 47366 and 47377