What is the Greatest Common Factor of 29652 and 29666?

Greatest common factor (GCF) of 29652 and 29666 is 14.

GCF(29652,29666) = 14

We will now calculate the prime factors of 29652 and 29666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29652 and 29666.

How to find the GCF of 29652 and 29666?

We will first find the prime factorization of 29652 and 29666. After we will calculate the factors of 29652 and 29666 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29666

Prime factors of 29666 are 2, 7, 13, 163. Prime factorization of 29666 in exponential form is:

29666 = 2¹ × 7¹ × 13¹ × 163¹

Step-3: Factors of 29652

List of positive integer factors of 29652 that divides 29652 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

Step-4: Factors of 29666

List of positive integer factors of 29666 that divides 29652 without a remainder.

1, 2, 7, 13, 14, 26, 91, 163, 182, 326, 1141, 2119, 2282, 4238, 14833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29652 and 29666. The biggest common factor number is the GCF number.
So the greatest common factor 29652 and 29666 is 14.

Also check out the Least Common Multiple of 29652 and 29666