What is the Greatest Common Factor of 29725 and 29740?

Greatest common factor (GCF) of 29725 and 29740 is 5.

GCF(29725,29740) = 5

We will now calculate the prime factors of 29725 and 29740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29725 and 29740.

How to find the GCF of 29725 and 29740?

We will first find the prime factorization of 29725 and 29740. After we will calculate the factors of 29725 and 29740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29740

Prime factors of 29740 are 2, 5, 1487. Prime factorization of 29740 in exponential form is:

29740 = 2² × 5¹ × 1487¹

Step-3: Factors of 29725

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

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

Step-4: Factors of 29740

List of positive integer factors of 29740 that divides 29725 without a remainder.

1, 2, 4, 5, 10, 20, 1487, 2974, 5948, 7435, 14870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29725 and 29740. The biggest common factor number is the GCF number.
So the greatest common factor 29725 and 29740 is 5.

Also check out the Least Common Multiple of 29725 and 29740