What is the Greatest Common Factor of 29718 and 29731?

Greatest common factor (GCF) of 29718 and 29731 is 13.

GCF(29718,29731) = 13

We will now calculate the prime factors of 29718 and 29731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29718 and 29731.

How to find the GCF of 29718 and 29731?

We will first find the prime factorization of 29718 and 29731. After we will calculate the factors of 29718 and 29731 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29731

Prime factors of 29731 are 13, 2287. Prime factorization of 29731 in exponential form is:

29731 = 13¹ × 2287¹

Step-3: Factors of 29718

List of positive integer factors of 29718 that divides 29718 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

Step-4: Factors of 29731

List of positive integer factors of 29731 that divides 29718 without a remainder.

1, 13, 2287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29718 and 29731. The biggest common factor number is the GCF number.
So the greatest common factor 29718 and 29731 is 13.

Also check out the Least Common Multiple of 29718 and 29731