What is the Greatest Common Factor of 29549 and 29562?

Greatest common factor (GCF) of 29549 and 29562 is 13.

GCF(29549,29562) = 13

We will now calculate the prime factors of 29549 and 29562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29549 and 29562.

How to find the GCF of 29549 and 29562?

We will first find the prime factorization of 29549 and 29562. After we will calculate the factors of 29549 and 29562 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 29562

Prime factors of 29562 are 2, 3, 13, 379. Prime factorization of 29562 in exponential form is:

29562 = 2¹ × 3¹ × 13¹ × 379¹

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 29562

List of positive integer factors of 29562 that divides 29549 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 379, 758, 1137, 2274, 4927, 9854, 14781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29549 and 29562. The biggest common factor number is the GCF number.
So the greatest common factor 29549 and 29562 is 13.

Also check out the Least Common Multiple of 29549 and 29562