What is the Greatest Common Factor of 29825 and 29835?

Greatest common factor (GCF) of 29825 and 29835 is 5.

GCF(29825,29835) = 5

We will now calculate the prime factors of 29825 and 29835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29825 and 29835.

How to find the GCF of 29825 and 29835?

We will first find the prime factorization of 29825 and 29835. After we will calculate the factors of 29825 and 29835 and find the biggest common factor number .

Step-1: Prime Factorization of 29825

Prime factors of 29825 are 5, 1193. Prime factorization of 29825 in exponential form is:

29825 = 5² × 1193¹

Step-2: Prime Factorization of 29835

Prime factors of 29835 are 3, 5, 13, 17. Prime factorization of 29835 in exponential form is:

29835 = 3³ × 5¹ × 13¹ × 17¹

Step-3: Factors of 29825

List of positive integer factors of 29825 that divides 29825 without a remainder.

1, 5, 25, 1193, 5965

Step-4: Factors of 29835

List of positive integer factors of 29835 that divides 29825 without a remainder.

1, 3, 5, 9, 13, 15, 17, 27, 39, 45, 51, 65, 85, 117, 135, 153, 195, 221, 255, 351, 459, 585, 663, 765, 1105, 1755, 1989, 2295, 3315, 5967, 9945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29825 and 29835. The biggest common factor number is the GCF number.
So the greatest common factor 29825 and 29835 is 5.

Also check out the Least Common Multiple of 29825 and 29835