What is the Greatest Common Factor of 29646 and 29652?

Greatest common factor (GCF) of 29646 and 29652 is 6.

GCF(29646,29652) = 6

We will now calculate the prime factors of 29646 and 29652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29646 and 29652.

How to find the GCF of 29646 and 29652?

We will first find the prime factorization of 29646 and 29652. After we will calculate the factors of 29646 and 29652 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 29652

Prime factors of 29652 are 2, 3, 7, 353. Prime factorization of 29652 in exponential form is:

29652 = 2² × 3¹ × 7¹ × 353¹

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 29652

List of positive integer factors of 29652 that divides 29646 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 353, 706, 1059, 1412, 2118, 2471, 4236, 4942, 7413, 9884, 14826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29646 and 29652. The biggest common factor number is the GCF number.
So the greatest common factor 29646 and 29652 is 6.

Also check out the Least Common Multiple of 29646 and 29652