What is the Greatest Common Factor of 68302 and 68310?

Greatest common factor (GCF) of 68302 and 68310 is 2.

GCF(68302,68310) = 2

We will now calculate the prime factors of 68302 and 68310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68302 and 68310.

How to find the GCF of 68302 and 68310?

We will first find the prime factorization of 68302 and 68310. After we will calculate the factors of 68302 and 68310 and find the biggest common factor number .

Step-1: Prime Factorization of 68302

Prime factors of 68302 are 2, 13, 37, 71. Prime factorization of 68302 in exponential form is:

68302 = 2¹ × 13¹ × 37¹ × 71¹

Step-2: Prime Factorization of 68310

Prime factors of 68310 are 2, 3, 5, 11, 23. Prime factorization of 68310 in exponential form is:

68310 = 2¹ × 3³ × 5¹ × 11¹ × 23¹

Step-3: Factors of 68302

List of positive integer factors of 68302 that divides 68302 without a remainder.

1, 2, 13, 26, 37, 71, 74, 142, 481, 923, 962, 1846, 2627, 5254, 34151

Step-4: Factors of 68310

List of positive integer factors of 68310 that divides 68302 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 23, 27, 30, 33, 45, 46, 54, 55, 66, 69, 90, 99, 110, 115, 135, 138, 165, 198, 207, 230, 253, 270, 297, 330, 345, 414, 495, 506, 594, 621, 690, 759, 990, 1035, 1242, 1265, 1485, 1518, 2070, 2277, 2530, 2970, 3105, 3795, 4554, 6210, 6831, 7590, 11385, 13662, 22770, 34155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68302 and 68310. The biggest common factor number is the GCF number.
So the greatest common factor 68302 and 68310 is 2.

Also check out the Least Common Multiple of 68302 and 68310