What is the Greatest Common Factor of 29198 and 29211?

Greatest common factor (GCF) of 29198 and 29211 is 13.

GCF(29198,29211) = 13

We will now calculate the prime factors of 29198 and 29211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29198 and 29211.

How to find the GCF of 29198 and 29211?

We will first find the prime factorization of 29198 and 29211. After we will calculate the factors of 29198 and 29211 and find the biggest common factor number .

Step-1: Prime Factorization of 29198

Prime factors of 29198 are 2, 13, 1123. Prime factorization of 29198 in exponential form is:

29198 = 2¹ × 13¹ × 1123¹

Step-2: Prime Factorization of 29211

Prime factors of 29211 are 3, 7, 13, 107. Prime factorization of 29211 in exponential form is:

29211 = 3¹ × 7¹ × 13¹ × 107¹

Step-3: Factors of 29198

List of positive integer factors of 29198 that divides 29198 without a remainder.

1, 2, 13, 26, 1123, 2246, 14599

Step-4: Factors of 29211

List of positive integer factors of 29211 that divides 29198 without a remainder.

1, 3, 7, 13, 21, 39, 91, 107, 273, 321, 749, 1391, 2247, 4173, 9737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29198 and 29211. The biggest common factor number is the GCF number.
So the greatest common factor 29198 and 29211 is 13.

Also check out the Least Common Multiple of 29198 and 29211