What is the Greatest Common Factor of 29079 and 29090?

Greatest common factor (GCF) of 29079 and 29090 is 1.

GCF(29079,29090) = 1

We will now calculate the prime factors of 29079 and 29090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29079 and 29090.

How to find the GCF of 29079 and 29090?

We will first find the prime factorization of 29079 and 29090. After we will calculate the factors of 29079 and 29090 and find the biggest common factor number .

Step-1: Prime Factorization of 29079

Prime factors of 29079 are 3, 359. Prime factorization of 29079 in exponential form is:

29079 = 3⁴ × 359¹

Step-2: Prime Factorization of 29090

Prime factors of 29090 are 2, 5, 2909. Prime factorization of 29090 in exponential form is:

29090 = 2¹ × 5¹ × 2909¹

Step-3: Factors of 29079

List of positive integer factors of 29079 that divides 29079 without a remainder.

1, 3, 9, 27, 81, 359, 1077, 3231, 9693

Step-4: Factors of 29090

List of positive integer factors of 29090 that divides 29079 without a remainder.

1, 2, 5, 10, 2909, 5818, 14545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29079 and 29090. The biggest common factor number is the GCF number.
So the greatest common factor 29079 and 29090 is 1.

Also check out the Least Common Multiple of 29079 and 29090