What is the Greatest Common Factor of 29646 and 29655?

Greatest common factor (GCF) of 29646 and 29655 is 9.

GCF(29646,29655) = 9

We will now calculate the prime factors of 29646 and 29655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29646 and 29655.

How to find the GCF of 29646 and 29655?

We will first find the prime factorization of 29646 and 29655. After we will calculate the factors of 29646 and 29655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29655

Prime factors of 29655 are 3, 5, 659. Prime factorization of 29655 in exponential form is:

29655 = 3² × 5¹ × 659¹

Step-3: Factors of 29646

List of positive integer factors of 29646 that divides 29646 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

Step-4: Factors of 29655

List of positive integer factors of 29655 that divides 29646 without a remainder.

1, 3, 5, 9, 15, 45, 659, 1977, 3295, 5931, 9885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29646 and 29655. The biggest common factor number is the GCF number.
So the greatest common factor 29646 and 29655 is 9.

Also check out the Least Common Multiple of 29646 and 29655