What is the Greatest Common Factor of 29705 and 29718?

Greatest common factor (GCF) of 29705 and 29718 is 13.

GCF(29705,29718) = 13

We will now calculate the prime factors of 29705 and 29718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29705 and 29718.

How to find the GCF of 29705 and 29718?

We will first find the prime factorization of 29705 and 29718. After we will calculate the factors of 29705 and 29718 and find the biggest common factor number .

Step-1: Prime Factorization of 29705

Prime factors of 29705 are 5, 13, 457. Prime factorization of 29705 in exponential form is:

29705 = 5¹ × 13¹ × 457¹

Step-2: Prime Factorization of 29718

Prime factors of 29718 are 2, 3, 13, 127. Prime factorization of 29718 in exponential form is:

29718 = 2¹ × 3² × 13¹ × 127¹

Step-3: Factors of 29705

List of positive integer factors of 29705 that divides 29705 without a remainder.

1, 5, 13, 65, 457, 2285, 5941

Step-4: Factors of 29718

List of positive integer factors of 29718 that divides 29705 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 127, 234, 254, 381, 762, 1143, 1651, 2286, 3302, 4953, 9906, 14859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29705 and 29718. The biggest common factor number is the GCF number.
So the greatest common factor 29705 and 29718 is 13.

Also check out the Least Common Multiple of 29705 and 29718