What is the Greatest Common Factor of 68510 and 68523?

Greatest common factor (GCF) of 68510 and 68523 is 13.

GCF(68510,68523) = 13

We will now calculate the prime factors of 68510 and 68523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68510 and 68523.

How to find the GCF of 68510 and 68523?

We will first find the prime factorization of 68510 and 68523. After we will calculate the factors of 68510 and 68523 and find the biggest common factor number .

Step-1: Prime Factorization of 68510

Prime factors of 68510 are 2, 5, 13, 17, 31. Prime factorization of 68510 in exponential form is:

68510 = 2¹ × 5¹ × 13¹ × 17¹ × 31¹

Step-2: Prime Factorization of 68523

Prime factors of 68523 are 3, 7, 13, 251. Prime factorization of 68523 in exponential form is:

68523 = 3¹ × 7¹ × 13¹ × 251¹

Step-3: Factors of 68510

List of positive integer factors of 68510 that divides 68510 without a remainder.

1, 2, 5, 10, 13, 17, 26, 31, 34, 62, 65, 85, 130, 155, 170, 221, 310, 403, 442, 527, 806, 1054, 1105, 2015, 2210, 2635, 4030, 5270, 6851, 13702, 34255

Step-4: Factors of 68523

List of positive integer factors of 68523 that divides 68510 without a remainder.

1, 3, 7, 13, 21, 39, 91, 251, 273, 753, 1757, 3263, 5271, 9789, 22841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68510 and 68523. The biggest common factor number is the GCF number.
So the greatest common factor 68510 and 68523 is 13.

Also check out the Least Common Multiple of 68510 and 68523