What is the Greatest Common Factor of 69290 and 69303?

Greatest common factor (GCF) of 69290 and 69303 is 13.

GCF(69290,69303) = 13

We will now calculate the prime factors of 69290 and 69303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69290 and 69303.

How to find the GCF of 69290 and 69303?

We will first find the prime factorization of 69290 and 69303. After we will calculate the factors of 69290 and 69303 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 69303

Prime factors of 69303 are 3, 13, 1777. Prime factorization of 69303 in exponential form is:

69303 = 3¹ × 13¹ × 1777¹

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 69303

List of positive integer factors of 69303 that divides 69290 without a remainder.

1, 3, 13, 39, 1777, 5331, 23101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69290 and 69303. The biggest common factor number is the GCF number.
So the greatest common factor 69290 and 69303 is 13.

Also check out the Least Common Multiple of 69290 and 69303