What is the Greatest Common Factor of 29538 and 29544?

Greatest common factor (GCF) of 29538 and 29544 is 6.

GCF(29538,29544) = 6

We will now calculate the prime factors of 29538 and 29544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29538 and 29544.

How to find the GCF of 29538 and 29544?

We will first find the prime factorization of 29538 and 29544. After we will calculate the factors of 29538 and 29544 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 29544

Prime factors of 29544 are 2, 3, 1231. Prime factorization of 29544 in exponential form is:

29544 = 2³ × 3¹ × 1231¹

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 29544

List of positive integer factors of 29544 that divides 29538 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1231, 2462, 3693, 4924, 7386, 9848, 14772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29538 and 29544. The biggest common factor number is the GCF number.
So the greatest common factor 29538 and 29544 is 6.

Also check out the Least Common Multiple of 29538 and 29544