What is the Greatest Common Factor of 29783 and 29796?

Greatest common factor (GCF) of 29783 and 29796 is 13.

GCF(29783,29796) = 13

We will now calculate the prime factors of 29783 and 29796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29783 and 29796.

How to find the GCF of 29783 and 29796?

We will first find the prime factorization of 29783 and 29796. After we will calculate the factors of 29783 and 29796 and find the biggest common factor number .

Step-1: Prime Factorization of 29783

Prime factors of 29783 are 13, 29, 79. Prime factorization of 29783 in exponential form is:

29783 = 13¹ × 29¹ × 79¹

Step-2: Prime Factorization of 29796

Prime factors of 29796 are 2, 3, 13, 191. Prime factorization of 29796 in exponential form is:

29796 = 2² × 3¹ × 13¹ × 191¹

Step-3: Factors of 29783

List of positive integer factors of 29783 that divides 29783 without a remainder.

1, 13, 29, 79, 377, 1027, 2291

Step-4: Factors of 29796

List of positive integer factors of 29796 that divides 29783 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 191, 382, 573, 764, 1146, 2292, 2483, 4966, 7449, 9932, 14898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29783 and 29796. The biggest common factor number is the GCF number.
So the greatest common factor 29783 and 29796 is 13.

Also check out the Least Common Multiple of 29783 and 29796