What is the Greatest Common Factor of 29697 and 29701?

Greatest common factor (GCF) of 29697 and 29701 is 1.

GCF(29697,29701) = 1

We will now calculate the prime factors of 29697 and 29701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29697 and 29701.

How to find the GCF of 29697 and 29701?

We will first find the prime factorization of 29697 and 29701. After we will calculate the factors of 29697 and 29701 and find the biggest common factor number .

Step-1: Prime Factorization of 29697

Prime factors of 29697 are 3, 19, 521. Prime factorization of 29697 in exponential form is:

29697 = 3¹ × 19¹ × 521¹

Step-2: Prime Factorization of 29701

Prime factors of 29701 are 7, 4243. Prime factorization of 29701 in exponential form is:

29701 = 7¹ × 4243¹

Step-3: Factors of 29697

List of positive integer factors of 29697 that divides 29697 without a remainder.

1, 3, 19, 57, 521, 1563, 9899

Step-4: Factors of 29701

List of positive integer factors of 29701 that divides 29697 without a remainder.

1, 7, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29697 and 29701. The biggest common factor number is the GCF number.
So the greatest common factor 29697 and 29701 is 1.

Also check out the Least Common Multiple of 29697 and 29701