What is the Greatest Common Factor of 29625 and 29629?

Greatest common factor (GCF) of 29625 and 29629 is 1.

GCF(29625,29629) = 1

We will now calculate the prime factors of 29625 and 29629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29625 and 29629.

How to find the GCF of 29625 and 29629?

We will first find the prime factorization of 29625 and 29629. After we will calculate the factors of 29625 and 29629 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 29629

Prime factors of 29629 are 29629. Prime factorization of 29629 in exponential form is:

29629 = 29629¹

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 29629

List of positive integer factors of 29629 that divides 29625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29625 and 29629. The biggest common factor number is the GCF number.
So the greatest common factor 29625 and 29629 is 1.

Also check out the Least Common Multiple of 29625 and 29629