What is the Greatest Common Factor of 29549 and 29563?

Greatest common factor (GCF) of 29549 and 29563 is 1.

GCF(29549,29563) = 1

We will now calculate the prime factors of 29549 and 29563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29549 and 29563.

How to find the GCF of 29549 and 29563?

We will first find the prime factorization of 29549 and 29563. After we will calculate the factors of 29549 and 29563 and find the biggest common factor number .

Step-1: Prime Factorization of 29549

Prime factors of 29549 are 13, 2273. Prime factorization of 29549 in exponential form is:

29549 = 13¹ × 2273¹

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 29549

List of positive integer factors of 29549 that divides 29549 without a remainder.

1, 13, 2273

Step-4: Factors of 29563

List of positive integer factors of 29563 that divides 29549 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29549 and 29563. The biggest common factor number is the GCF number.
So the greatest common factor 29549 and 29563 is 1.

Also check out the Least Common Multiple of 29549 and 29563