What is the Greatest Common Factor of 69290 and 69308?

Greatest common factor (GCF) of 69290 and 69308 is 2.

GCF(69290,69308) = 2

We will now calculate the prime factors of 69290 and 69308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69290 and 69308.

How to find the GCF of 69290 and 69308?

We will first find the prime factorization of 69290 and 69308. After we will calculate the factors of 69290 and 69308 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 69308

Prime factors of 69308 are 2, 17327. Prime factorization of 69308 in exponential form is:

69308 = 2² × 17327¹

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 69308

List of positive integer factors of 69308 that divides 69290 without a remainder.

1, 2, 4, 17327, 34654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69290 and 69308. The biggest common factor number is the GCF number.
So the greatest common factor 69290 and 69308 is 2.

Also check out the Least Common Multiple of 69290 and 69308