What is the Greatest Common Factor of 29757 and 29775?

Greatest common factor (GCF) of 29757 and 29775 is 3.

GCF(29757,29775) = 3

We will now calculate the prime factors of 29757 and 29775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29757 and 29775.

How to find the GCF of 29757 and 29775?

We will first find the prime factorization of 29757 and 29775. After we will calculate the factors of 29757 and 29775 and find the biggest common factor number .

Step-1: Prime Factorization of 29757

Prime factors of 29757 are 3, 7, 13, 109. Prime factorization of 29757 in exponential form is:

29757 = 3¹ × 7¹ × 13¹ × 109¹

Step-2: Prime Factorization of 29775

Prime factors of 29775 are 3, 5, 397. Prime factorization of 29775 in exponential form is:

29775 = 3¹ × 5² × 397¹

Step-3: Factors of 29757

List of positive integer factors of 29757 that divides 29757 without a remainder.

1, 3, 7, 13, 21, 39, 91, 109, 273, 327, 763, 1417, 2289, 4251, 9919

Step-4: Factors of 29775

List of positive integer factors of 29775 that divides 29757 without a remainder.

1, 3, 5, 15, 25, 75, 397, 1191, 1985, 5955, 9925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29757 and 29775. The biggest common factor number is the GCF number.
So the greatest common factor 29757 and 29775 is 3.

Also check out the Least Common Multiple of 29757 and 29775