What is the Greatest Common Factor of 29290 and 29305?

Greatest common factor (GCF) of 29290 and 29305 is 5.

GCF(29290,29305) = 5

We will now calculate the prime factors of 29290 and 29305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29290 and 29305.

How to find the GCF of 29290 and 29305?

We will first find the prime factorization of 29290 and 29305. After we will calculate the factors of 29290 and 29305 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 29305

Prime factors of 29305 are 5, 5861. Prime factorization of 29305 in exponential form is:

29305 = 5¹ × 5861¹

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 29305

List of positive integer factors of 29305 that divides 29290 without a remainder.

1, 5, 5861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29290 and 29305. The biggest common factor number is the GCF number.
So the greatest common factor 29290 and 29305 is 5.

Also check out the Least Common Multiple of 29290 and 29305