What is the Greatest Common Factor of 47697 and 47710?

Greatest common factor (GCF) of 47697 and 47710 is 13.

GCF(47697,47710) = 13

We will now calculate the prime factors of 47697 and 47710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47697 and 47710.

How to find the GCF of 47697 and 47710?

We will first find the prime factorization of 47697 and 47710. After we will calculate the factors of 47697 and 47710 and find the biggest common factor number .

Step-1: Prime Factorization of 47697

Prime factors of 47697 are 3, 13, 1223. Prime factorization of 47697 in exponential form is:

47697 = 3¹ × 13¹ × 1223¹

Step-2: Prime Factorization of 47710

Prime factors of 47710 are 2, 5, 13, 367. Prime factorization of 47710 in exponential form is:

47710 = 2¹ × 5¹ × 13¹ × 367¹

Step-3: Factors of 47697

List of positive integer factors of 47697 that divides 47697 without a remainder.

1, 3, 13, 39, 1223, 3669, 15899

Step-4: Factors of 47710

List of positive integer factors of 47710 that divides 47697 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 367, 734, 1835, 3670, 4771, 9542, 23855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47697 and 47710. The biggest common factor number is the GCF number.
So the greatest common factor 47697 and 47710 is 13.

Also check out the Least Common Multiple of 47697 and 47710