What is the Greatest Common Factor of 29785 and 29790?

Greatest common factor (GCF) of 29785 and 29790 is 5.

GCF(29785,29790) = 5

We will now calculate the prime factors of 29785 and 29790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29785 and 29790.

How to find the GCF of 29785 and 29790?

We will first find the prime factorization of 29785 and 29790. After we will calculate the factors of 29785 and 29790 and find the biggest common factor number .

Step-1: Prime Factorization of 29785

Prime factors of 29785 are 5, 7, 23, 37. Prime factorization of 29785 in exponential form is:

29785 = 5¹ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 29790

Prime factors of 29790 are 2, 3, 5, 331. Prime factorization of 29790 in exponential form is:

29790 = 2¹ × 3² × 5¹ × 331¹

Step-3: Factors of 29785

List of positive integer factors of 29785 that divides 29785 without a remainder.

1, 5, 7, 23, 35, 37, 115, 161, 185, 259, 805, 851, 1295, 4255, 5957

Step-4: Factors of 29790

List of positive integer factors of 29790 that divides 29785 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 331, 662, 993, 1655, 1986, 2979, 3310, 4965, 5958, 9930, 14895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29785 and 29790. The biggest common factor number is the GCF number.
So the greatest common factor 29785 and 29790 is 5.

Also check out the Least Common Multiple of 29785 and 29790