What is the Greatest Common Factor of 29633 and 29637?

Greatest common factor (GCF) of 29633 and 29637 is 1.

GCF(29633,29637) = 1

We will now calculate the prime factors of 29633 and 29637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29633 and 29637.

How to find the GCF of 29633 and 29637?

We will first find the prime factorization of 29633 and 29637. After we will calculate the factors of 29633 and 29637 and find the biggest common factor number .

Step-1: Prime Factorization of 29633

Prime factors of 29633 are 29633. Prime factorization of 29633 in exponential form is:

29633 = 29633¹

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 29633

List of positive integer factors of 29633 that divides 29633 without a remainder.

Step-4: Factors of 29637

List of positive integer factors of 29637 that divides 29633 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 29633 and 29637. The biggest common factor number is the GCF number.
So the greatest common factor 29633 and 29637 is 1.

Also check out the Least Common Multiple of 29633 and 29637