What is the Greatest Common Factor of 29198 and 29212?

Greatest common factor (GCF) of 29198 and 29212 is 2.

GCF(29198,29212) = 2

We will now calculate the prime factors of 29198 and 29212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29198 and 29212.

How to find the GCF of 29198 and 29212?

We will first find the prime factorization of 29198 and 29212. After we will calculate the factors of 29198 and 29212 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 29212

Prime factors of 29212 are 2, 67, 109. Prime factorization of 29212 in exponential form is:

29212 = 2² × 67¹ × 109¹

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 29212

List of positive integer factors of 29212 that divides 29198 without a remainder.

1, 2, 4, 67, 109, 134, 218, 268, 436, 7303, 14606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29198 and 29212. The biggest common factor number is the GCF number.
So the greatest common factor 29198 and 29212 is 2.

Also check out the Least Common Multiple of 29198 and 29212