What is the Greatest Common Factor of 68210 and 68229?

Greatest common factor (GCF) of 68210 and 68229 is 19.

GCF(68210,68229) = 19

We will now calculate the prime factors of 68210 and 68229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68210 and 68229.

How to find the GCF of 68210 and 68229?

We will first find the prime factorization of 68210 and 68229. After we will calculate the factors of 68210 and 68229 and find the biggest common factor number .

Step-1: Prime Factorization of 68210

Prime factors of 68210 are 2, 5, 19, 359. Prime factorization of 68210 in exponential form is:

68210 = 2¹ × 5¹ × 19¹ × 359¹

Step-2: Prime Factorization of 68229

Prime factors of 68229 are 3, 7, 19. Prime factorization of 68229 in exponential form is:

68229 = 3³ × 7¹ × 19²

Step-3: Factors of 68210

List of positive integer factors of 68210 that divides 68210 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 359, 718, 1795, 3590, 6821, 13642, 34105

Step-4: Factors of 68229

List of positive integer factors of 68229 that divides 68210 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 361, 399, 513, 1083, 1197, 2527, 3249, 3591, 7581, 9747, 22743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68210 and 68229. The biggest common factor number is the GCF number.
So the greatest common factor 68210 and 68229 is 19.

Also check out the Least Common Multiple of 68210 and 68229