What is the Greatest Common Factor of 68623 and 68634?

Greatest common factor (GCF) of 68623 and 68634 is 1.

GCF(68623,68634) = 1

We will now calculate the prime factors of 68623 and 68634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68623 and 68634.

How to find the GCF of 68623 and 68634?

We will first find the prime factorization of 68623 and 68634. After we will calculate the factors of 68623 and 68634 and find the biggest common factor number .

Step-1: Prime Factorization of 68623

Prime factors of 68623 are 163, 421. Prime factorization of 68623 in exponential form is:

68623 = 163¹ × 421¹

Step-2: Prime Factorization of 68634

Prime factors of 68634 are 2, 3, 31, 41. Prime factorization of 68634 in exponential form is:

68634 = 2¹ × 3³ × 31¹ × 41¹

Step-3: Factors of 68623

List of positive integer factors of 68623 that divides 68623 without a remainder.

1, 163, 421

Step-4: Factors of 68634

List of positive integer factors of 68634 that divides 68623 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 41, 54, 62, 82, 93, 123, 186, 246, 279, 369, 558, 738, 837, 1107, 1271, 1674, 2214, 2542, 3813, 7626, 11439, 22878, 34317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68623 and 68634. The biggest common factor number is the GCF number.
So the greatest common factor 68623 and 68634 is 1.

Also check out the Least Common Multiple of 68623 and 68634