What is the Greatest Common Factor of 34719 and 34729?

Greatest common factor (GCF) of 34719 and 34729 is 1.

GCF(34719,34729) = 1

We will now calculate the prime factors of 34719 and 34729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34719 and 34729.

How to find the GCF of 34719 and 34729?

We will first find the prime factorization of 34719 and 34729. After we will calculate the factors of 34719 and 34729 and find the biggest common factor number .

Step-1: Prime Factorization of 34719

Prime factors of 34719 are 3, 71, 163. Prime factorization of 34719 in exponential form is:

34719 = 3¹ × 71¹ × 163¹

Step-2: Prime Factorization of 34729

Prime factors of 34729 are 34729. Prime factorization of 34729 in exponential form is:

34729 = 34729¹

Step-3: Factors of 34719

List of positive integer factors of 34719 that divides 34719 without a remainder.

1, 3, 71, 163, 213, 489, 11573

Step-4: Factors of 34729

List of positive integer factors of 34729 that divides 34719 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34719 and 34729. The biggest common factor number is the GCF number.
So the greatest common factor 34719 and 34729 is 1.

Also check out the Least Common Multiple of 34719 and 34729