What is the Greatest Common Factor of 68490 and 68510?

Greatest common factor (GCF) of 68490 and 68510 is 10.

GCF(68490,68510) = 10

We will now calculate the prime factors of 68490 and 68510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68490 and 68510.

How to find the GCF of 68490 and 68510?

We will first find the prime factorization of 68490 and 68510. After we will calculate the factors of 68490 and 68510 and find the biggest common factor number .

Step-1: Prime Factorization of 68490

Prime factors of 68490 are 2, 3, 5, 761. Prime factorization of 68490 in exponential form is:

68490 = 2¹ × 3² × 5¹ × 761¹

Step-2: 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-3: Factors of 68490

List of positive integer factors of 68490 that divides 68490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 761, 1522, 2283, 3805, 4566, 6849, 7610, 11415, 13698, 22830, 34245

Step-4: Factors of 68510

List of positive integer factors of 68510 that divides 68490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68490 and 68510. The biggest common factor number is the GCF number.
So the greatest common factor 68490 and 68510 is 10.

Also check out the Least Common Multiple of 68490 and 68510