What is the Greatest Common Factor of 69290 and 69302?

Greatest common factor (GCF) of 69290 and 69302 is 2.

GCF(69290,69302) = 2

We will now calculate the prime factors of 69290 and 69302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69290 and 69302.

How to find the GCF of 69290 and 69302?

We will first find the prime factorization of 69290 and 69302. After we will calculate the factors of 69290 and 69302 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 69302

Prime factors of 69302 are 2, 34651. Prime factorization of 69302 in exponential form is:

69302 = 2¹ × 34651¹

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 69302

List of positive integer factors of 69302 that divides 69290 without a remainder.

1, 2, 34651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69290 and 69302. The biggest common factor number is the GCF number.
So the greatest common factor 69290 and 69302 is 2.

Also check out the Least Common Multiple of 69290 and 69302