What is the Greatest Common Factor of 29625 and 29643?

Greatest common factor (GCF) of 29625 and 29643 is 3.

GCF(29625,29643) = 3

We will now calculate the prime factors of 29625 and 29643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29625 and 29643.

How to find the GCF of 29625 and 29643?

We will first find the prime factorization of 29625 and 29643. After we will calculate the factors of 29625 and 29643 and find the biggest common factor number .

Step-1: Prime Factorization of 29625

Prime factors of 29625 are 3, 5, 79. Prime factorization of 29625 in exponential form is:

29625 = 3¹ × 5³ × 79¹

Step-2: Prime Factorization of 29643

Prime factors of 29643 are 3, 41, 241. Prime factorization of 29643 in exponential form is:

29643 = 3¹ × 41¹ × 241¹

Step-3: Factors of 29625

List of positive integer factors of 29625 that divides 29625 without a remainder.

1, 3, 5, 15, 25, 75, 79, 125, 237, 375, 395, 1185, 1975, 5925, 9875

Step-4: Factors of 29643

List of positive integer factors of 29643 that divides 29625 without a remainder.

1, 3, 41, 123, 241, 723, 9881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29625 and 29643. The biggest common factor number is the GCF number.
So the greatest common factor 29625 and 29643 is 3.

Also check out the Least Common Multiple of 29625 and 29643