What is the Greatest Common Factor of 29290 and 29301?

Greatest common factor (GCF) of 29290 and 29301 is 1.

GCF(29290,29301) = 1

We will now calculate the prime factors of 29290 and 29301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29290 and 29301.

How to find the GCF of 29290 and 29301?

We will first find the prime factorization of 29290 and 29301. After we will calculate the factors of 29290 and 29301 and find the biggest common factor number .

Step-1: Prime Factorization of 29290

Prime factors of 29290 are 2, 5, 29, 101. Prime factorization of 29290 in exponential form is:

29290 = 2¹ × 5¹ × 29¹ × 101¹

Step-2: Prime Factorization of 29301

Prime factors of 29301 are 3, 9767. Prime factorization of 29301 in exponential form is:

29301 = 3¹ × 9767¹

Step-3: Factors of 29290

List of positive integer factors of 29290 that divides 29290 without a remainder.

1, 2, 5, 10, 29, 58, 101, 145, 202, 290, 505, 1010, 2929, 5858, 14645

Step-4: Factors of 29301

List of positive integer factors of 29301 that divides 29290 without a remainder.

1, 3, 9767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29290 and 29301. The biggest common factor number is the GCF number.
So the greatest common factor 29290 and 29301 is 1.

Also check out the Least Common Multiple of 29290 and 29301