What is the Greatest Common Factor of 29538 and 29550?

Greatest common factor (GCF) of 29538 and 29550 is 6.

GCF(29538,29550) = 6

We will now calculate the prime factors of 29538 and 29550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29538 and 29550.

How to find the GCF of 29538 and 29550?

We will first find the prime factorization of 29538 and 29550. After we will calculate the factors of 29538 and 29550 and find the biggest common factor number .

Step-1: Prime Factorization of 29538

Prime factors of 29538 are 2, 3, 547. Prime factorization of 29538 in exponential form is:

29538 = 2¹ × 3³ × 547¹

Step-2: Prime Factorization of 29550

Prime factors of 29550 are 2, 3, 5, 197. Prime factorization of 29550 in exponential form is:

29550 = 2¹ × 3¹ × 5² × 197¹

Step-3: Factors of 29538

List of positive integer factors of 29538 that divides 29538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 547, 1094, 1641, 3282, 4923, 9846, 14769

Step-4: Factors of 29550

List of positive integer factors of 29550 that divides 29538 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 197, 394, 591, 985, 1182, 1970, 2955, 4925, 5910, 9850, 14775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29538 and 29550. The biggest common factor number is the GCF number.
So the greatest common factor 29538 and 29550 is 6.

Also check out the Least Common Multiple of 29538 and 29550