What is the Greatest Common Factor of 29795 and 29810?

Greatest common factor (GCF) of 29795 and 29810 is 5.

GCF(29795,29810) = 5

We will now calculate the prime factors of 29795 and 29810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29795 and 29810.

How to find the GCF of 29795 and 29810?

We will first find the prime factorization of 29795 and 29810. After we will calculate the factors of 29795 and 29810 and find the biggest common factor number .

Step-1: Prime Factorization of 29795

Prime factors of 29795 are 5, 59, 101. Prime factorization of 29795 in exponential form is:

29795 = 5¹ × 59¹ × 101¹

Step-2: Prime Factorization of 29810

Prime factors of 29810 are 2, 5, 11, 271. Prime factorization of 29810 in exponential form is:

29810 = 2¹ × 5¹ × 11¹ × 271¹

Step-3: Factors of 29795

List of positive integer factors of 29795 that divides 29795 without a remainder.

1, 5, 59, 101, 295, 505, 5959

Step-4: Factors of 29810

List of positive integer factors of 29810 that divides 29795 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 271, 542, 1355, 2710, 2981, 5962, 14905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29795 and 29810. The biggest common factor number is the GCF number.
So the greatest common factor 29795 and 29810 is 5.

Also check out the Least Common Multiple of 29795 and 29810