What is the Greatest Common Factor of 29770 and 29783?

Greatest common factor (GCF) of 29770 and 29783 is 13.

GCF(29770,29783) = 13

We will now calculate the prime factors of 29770 and 29783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29770 and 29783.

How to find the GCF of 29770 and 29783?

We will first find the prime factorization of 29770 and 29783. After we will calculate the factors of 29770 and 29783 and find the biggest common factor number .

Step-1: Prime Factorization of 29770

Prime factors of 29770 are 2, 5, 13, 229. Prime factorization of 29770 in exponential form is:

29770 = 2¹ × 5¹ × 13¹ × 229¹

Step-2: 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-3: Factors of 29770

List of positive integer factors of 29770 that divides 29770 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 229, 458, 1145, 2290, 2977, 5954, 14885

Step-4: Factors of 29783

List of positive integer factors of 29783 that divides 29770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29770 and 29783. The biggest common factor number is the GCF number.
So the greatest common factor 29770 and 29783 is 13.

Also check out the Least Common Multiple of 29770 and 29783