What is the Greatest Common Factor of 29716 and 29735?

Greatest common factor (GCF) of 29716 and 29735 is 19.

GCF(29716,29735) = 19

We will now calculate the prime factors of 29716 and 29735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29716 and 29735.

How to find the GCF of 29716 and 29735?

We will first find the prime factorization of 29716 and 29735. After we will calculate the factors of 29716 and 29735 and find the biggest common factor number .

Step-1: Prime Factorization of 29716

Prime factors of 29716 are 2, 17, 19, 23. Prime factorization of 29716 in exponential form is:

29716 = 2² × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 29735

Prime factors of 29735 are 5, 19, 313. Prime factorization of 29735 in exponential form is:

29735 = 5¹ × 19¹ × 313¹

Step-3: Factors of 29716

List of positive integer factors of 29716 that divides 29716 without a remainder.

1, 2, 4, 17, 19, 23, 34, 38, 46, 68, 76, 92, 323, 391, 437, 646, 782, 874, 1292, 1564, 1748, 7429, 14858

Step-4: Factors of 29735

List of positive integer factors of 29735 that divides 29716 without a remainder.

1, 5, 19, 95, 313, 1565, 5947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29716 and 29735. The biggest common factor number is the GCF number.
So the greatest common factor 29716 and 29735 is 19.

Also check out the Least Common Multiple of 29716 and 29735