What is the Greatest Common Factor of 69290 and 69305?

Greatest common factor (GCF) of 69290 and 69305 is 5.

GCF(69290,69305) = 5

We will now calculate the prime factors of 69290 and 69305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69290 and 69305.

How to find the GCF of 69290 and 69305?

We will first find the prime factorization of 69290 and 69305. After we will calculate the factors of 69290 and 69305 and find the biggest common factor number .

Step-1: Prime Factorization of 69290

Prime factors of 69290 are 2, 5, 13, 41. Prime factorization of 69290 in exponential form is:

69290 = 2¹ × 5¹ × 13² × 41¹

Step-2: Prime Factorization of 69305

Prime factors of 69305 are 5, 83, 167. Prime factorization of 69305 in exponential form is:

69305 = 5¹ × 83¹ × 167¹

Step-3: Factors of 69290

List of positive integer factors of 69290 that divides 69290 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 169, 205, 338, 410, 533, 845, 1066, 1690, 2665, 5330, 6929, 13858, 34645

Step-4: Factors of 69305

List of positive integer factors of 69305 that divides 69290 without a remainder.

1, 5, 83, 167, 415, 835, 13861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69290 and 69305. The biggest common factor number is the GCF number.
So the greatest common factor 69290 and 69305 is 5.

Also check out the Least Common Multiple of 69290 and 69305