What is the Greatest Common Factor of 47164 and 47177?

Greatest common factor (GCF) of 47164 and 47177 is 13.

GCF(47164,47177) = 13

We will now calculate the prime factors of 47164 and 47177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47164 and 47177.

How to find the GCF of 47164 and 47177?

We will first find the prime factorization of 47164 and 47177. After we will calculate the factors of 47164 and 47177 and find the biggest common factor number .

Step-1: Prime Factorization of 47164

Prime factors of 47164 are 2, 13, 907. Prime factorization of 47164 in exponential form is:

47164 = 2² × 13¹ × 907¹

Step-2: Prime Factorization of 47177

Prime factors of 47177 are 13, 19, 191. Prime factorization of 47177 in exponential form is:

47177 = 13¹ × 19¹ × 191¹

Step-3: Factors of 47164

List of positive integer factors of 47164 that divides 47164 without a remainder.

1, 2, 4, 13, 26, 52, 907, 1814, 3628, 11791, 23582

Step-4: Factors of 47177

List of positive integer factors of 47177 that divides 47164 without a remainder.

1, 13, 19, 191, 247, 2483, 3629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47164 and 47177. The biggest common factor number is the GCF number.
So the greatest common factor 47164 and 47177 is 13.

Also check out the Least Common Multiple of 47164 and 47177