What is the Greatest Common Factor of 29775 and 29787?

Greatest common factor (GCF) of 29775 and 29787 is 3.

GCF(29775,29787) = 3

We will now calculate the prime factors of 29775 and 29787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29775 and 29787.

How to find the GCF of 29775 and 29787?

We will first find the prime factorization of 29775 and 29787. After we will calculate the factors of 29775 and 29787 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29787

Prime factors of 29787 are 3, 9929. Prime factorization of 29787 in exponential form is:

29787 = 3¹ × 9929¹

Step-3: Factors of 29775

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

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

Step-4: Factors of 29787

List of positive integer factors of 29787 that divides 29775 without a remainder.

1, 3, 9929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29775 and 29787. The biggest common factor number is the GCF number.
So the greatest common factor 29775 and 29787 is 3.

Also check out the Least Common Multiple of 29775 and 29787