What is the Greatest Common Factor of 29185 and 29198?

Greatest common factor (GCF) of 29185 and 29198 is 13.

GCF(29185,29198) = 13

We will now calculate the prime factors of 29185 and 29198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29185 and 29198.

How to find the GCF of 29185 and 29198?

We will first find the prime factorization of 29185 and 29198. After we will calculate the factors of 29185 and 29198 and find the biggest common factor number .

Step-1: Prime Factorization of 29185

Prime factors of 29185 are 5, 13, 449. Prime factorization of 29185 in exponential form is:

29185 = 5¹ × 13¹ × 449¹

Step-2: 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-3: Factors of 29185

List of positive integer factors of 29185 that divides 29185 without a remainder.

1, 5, 13, 65, 449, 2245, 5837

Step-4: Factors of 29198

List of positive integer factors of 29198 that divides 29185 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29185 and 29198. The biggest common factor number is the GCF number.
So the greatest common factor 29185 and 29198 is 13.

Also check out the Least Common Multiple of 29185 and 29198