What is the Greatest Common Factor of 29705 and 29725?

Greatest common factor (GCF) of 29705 and 29725 is 5.

GCF(29705,29725) = 5

We will now calculate the prime factors of 29705 and 29725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29705 and 29725.

How to find the GCF of 29705 and 29725?

We will first find the prime factorization of 29705 and 29725. After we will calculate the factors of 29705 and 29725 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 29725

Prime factors of 29725 are 5, 29, 41. Prime factorization of 29725 in exponential form is:

29725 = 5² × 29¹ × 41¹

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 29725

List of positive integer factors of 29725 that divides 29705 without a remainder.

1, 5, 25, 29, 41, 145, 205, 725, 1025, 1189, 5945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29705 and 29725. The biggest common factor number is the GCF number.
So the greatest common factor 29705 and 29725 is 5.

Also check out the Least Common Multiple of 29705 and 29725