What is the Greatest Common Factor of 4686 and 4697?

Greatest common factor (GCF) of 4686 and 4697 is 11.

GCF(4686,4697) = 11

We will now calculate the prime factors of 4686 and 4697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4686 and 4697.

How to find the GCF of 4686 and 4697?

We will first find the prime factorization of 4686 and 4697. After we will calculate the factors of 4686 and 4697 and find the biggest common factor number .

Step-1: Prime Factorization of 4686

Prime factors of 4686 are 2, 3, 11, 71. Prime factorization of 4686 in exponential form is:

4686 = 2¹ × 3¹ × 11¹ × 71¹

Step-2: Prime Factorization of 4697

Prime factors of 4697 are 7, 11, 61. Prime factorization of 4697 in exponential form is:

4697 = 7¹ × 11¹ × 61¹

Step-3: Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343

Step-4: Factors of 4697

List of positive integer factors of 4697 that divides 4686 without a remainder.

1, 7, 11, 61, 77, 427, 671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4686 and 4697. The biggest common factor number is the GCF number.
So the greatest common factor 4686 and 4697 is 11.

Also check out the Least Common Multiple of 4686 and 4697