What is the Greatest Common Factor of 29745 and 29765?

Greatest common factor (GCF) of 29745 and 29765 is 5.

GCF(29745,29765) = 5

We will now calculate the prime factors of 29745 and 29765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29745 and 29765.

How to find the GCF of 29745 and 29765?

We will first find the prime factorization of 29745 and 29765. After we will calculate the factors of 29745 and 29765 and find the biggest common factor number .

Step-1: Prime Factorization of 29745

Prime factors of 29745 are 3, 5, 661. Prime factorization of 29745 in exponential form is:

29745 = 3² × 5¹ × 661¹

Step-2: Prime Factorization of 29765

Prime factors of 29765 are 5, 5953. Prime factorization of 29765 in exponential form is:

29765 = 5¹ × 5953¹

Step-3: Factors of 29745

List of positive integer factors of 29745 that divides 29745 without a remainder.

1, 3, 5, 9, 15, 45, 661, 1983, 3305, 5949, 9915

Step-4: Factors of 29765

List of positive integer factors of 29765 that divides 29745 without a remainder.

1, 5, 5953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29745 and 29765. The biggest common factor number is the GCF number.
So the greatest common factor 29745 and 29765 is 5.

Also check out the Least Common Multiple of 29745 and 29765