What is the Greatest Common Factor of 29637 and 29646?

Greatest common factor (GCF) of 29637 and 29646 is 9.

GCF(29637,29646) = 9

We will now calculate the prime factors of 29637 and 29646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29637 and 29646.

How to find the GCF of 29637 and 29646?

We will first find the prime factorization of 29637 and 29646. After we will calculate the factors of 29637 and 29646 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29646

Prime factors of 29646 are 2, 3, 61. Prime factorization of 29646 in exponential form is:

29646 = 2¹ × 3⁵ × 61¹

Step-3: Factors of 29637

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

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

Step-4: Factors of 29646

List of positive integer factors of 29646 that divides 29637 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 243, 366, 486, 549, 1098, 1647, 3294, 4941, 9882, 14823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29637 and 29646. The biggest common factor number is the GCF number.
So the greatest common factor 29637 and 29646 is 9.

Also check out the Least Common Multiple of 29637 and 29646