What is the Greatest Common Factor of 29544 and 29563?

Greatest common factor (GCF) of 29544 and 29563 is 1.

GCF(29544,29563) = 1

We will now calculate the prime factors of 29544 and 29563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29544 and 29563.

How to find the GCF of 29544 and 29563?

We will first find the prime factorization of 29544 and 29563. After we will calculate the factors of 29544 and 29563 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29563

Prime factors of 29563 are 17, 37, 47. Prime factorization of 29563 in exponential form is:

29563 = 17¹ × 37¹ × 47¹

Step-3: Factors of 29544

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

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

Step-4: Factors of 29563

List of positive integer factors of 29563 that divides 29544 without a remainder.

1, 17, 37, 47, 629, 799, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29544 and 29563. The biggest common factor number is the GCF number.
So the greatest common factor 29544 and 29563 is 1.

Also check out the Least Common Multiple of 29544 and 29563