What is the Greatest Common Factor of 29784 and 29798?

Greatest common factor (GCF) of 29784 and 29798 is 2.

GCF(29784,29798) = 2

We will now calculate the prime factors of 29784 and 29798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29784 and 29798.

How to find the GCF of 29784 and 29798?

We will first find the prime factorization of 29784 and 29798. After we will calculate the factors of 29784 and 29798 and find the biggest common factor number .

Step-1: Prime Factorization of 29784

Prime factors of 29784 are 2, 3, 17, 73. Prime factorization of 29784 in exponential form is:

29784 = 2³ × 3¹ × 17¹ × 73¹

Step-2: Prime Factorization of 29798

Prime factors of 29798 are 2, 47, 317. Prime factorization of 29798 in exponential form is:

29798 = 2¹ × 47¹ × 317¹

Step-3: Factors of 29784

List of positive integer factors of 29784 that divides 29784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 73, 102, 136, 146, 204, 219, 292, 408, 438, 584, 876, 1241, 1752, 2482, 3723, 4964, 7446, 9928, 14892

Step-4: Factors of 29798

List of positive integer factors of 29798 that divides 29784 without a remainder.

1, 2, 47, 94, 317, 634, 14899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29784 and 29798. The biggest common factor number is the GCF number.
So the greatest common factor 29784 and 29798 is 2.

Also check out the Least Common Multiple of 29784 and 29798