What is the Greatest Common Factor of 29049 and 29068?

Greatest common factor (GCF) of 29049 and 29068 is 1.

GCF(29049,29068) = 1

We will now calculate the prime factors of 29049 and 29068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29049 and 29068.

How to find the GCF of 29049 and 29068?

We will first find the prime factorization of 29049 and 29068. After we will calculate the factors of 29049 and 29068 and find the biggest common factor number .

Step-1: Prime Factorization of 29049

Prime factors of 29049 are 3, 23, 421. Prime factorization of 29049 in exponential form is:

29049 = 3¹ × 23¹ × 421¹

Step-2: Prime Factorization of 29068

Prime factors of 29068 are 2, 13, 43. Prime factorization of 29068 in exponential form is:

29068 = 2² × 13² × 43¹

Step-3: Factors of 29049

List of positive integer factors of 29049 that divides 29049 without a remainder.

1, 3, 23, 69, 421, 1263, 9683

Step-4: Factors of 29068

List of positive integer factors of 29068 that divides 29049 without a remainder.

1, 2, 4, 13, 26, 43, 52, 86, 169, 172, 338, 559, 676, 1118, 2236, 7267, 14534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29049 and 29068. The biggest common factor number is the GCF number.
So the greatest common factor 29049 and 29068 is 1.

Also check out the Least Common Multiple of 29049 and 29068