What is the Greatest Common Factor of 29625 and 29637?

Greatest common factor (GCF) of 29625 and 29637 is 3.

GCF(29625,29637) = 3

We will now calculate the prime factors of 29625 and 29637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29625 and 29637.

How to find the GCF of 29625 and 29637?

We will first find the prime factorization of 29625 and 29637. After we will calculate the factors of 29625 and 29637 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 29637

Prime factors of 29637 are 3, 37, 89. Prime factorization of 29637 in exponential form is:

29637 = 3² × 37¹ × 89¹

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 29637

List of positive integer factors of 29637 that divides 29625 without a remainder.

1, 3, 9, 37, 89, 111, 267, 333, 801, 3293, 9879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29625 and 29637. The biggest common factor number is the GCF number.
So the greatest common factor 29625 and 29637 is 3.

Also check out the Least Common Multiple of 29625 and 29637