What is the Greatest Common Factor of 47697 and 47706?

Greatest common factor (GCF) of 47697 and 47706 is 3.

GCF(47697,47706) = 3

We will now calculate the prime factors of 47697 and 47706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47697 and 47706.

How to find the GCF of 47697 and 47706?

We will first find the prime factorization of 47697 and 47706. After we will calculate the factors of 47697 and 47706 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 47706

Prime factors of 47706 are 2, 3, 7951. Prime factorization of 47706 in exponential form is:

47706 = 2¹ × 3¹ × 7951¹

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 47706

List of positive integer factors of 47706 that divides 47697 without a remainder.

1, 2, 3, 6, 7951, 15902, 23853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47697 and 47706. The biggest common factor number is the GCF number.
So the greatest common factor 47697 and 47706 is 3.

Also check out the Least Common Multiple of 47697 and 47706