What is the Greatest Common Factor of 29290 and 29308?

Greatest common factor (GCF) of 29290 and 29308 is 2.

GCF(29290,29308) = 2

We will now calculate the prime factors of 29290 and 29308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29290 and 29308.

How to find the GCF of 29290 and 29308?

We will first find the prime factorization of 29290 and 29308. After we will calculate the factors of 29290 and 29308 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 29308

Prime factors of 29308 are 2, 17, 431. Prime factorization of 29308 in exponential form is:

29308 = 2² × 17¹ × 431¹

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 29308

List of positive integer factors of 29308 that divides 29290 without a remainder.

1, 2, 4, 17, 34, 68, 431, 862, 1724, 7327, 14654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29290 and 29308. The biggest common factor number is the GCF number.
So the greatest common factor 29290 and 29308 is 2.

Also check out the Least Common Multiple of 29290 and 29308