What is the Greatest Common Factor of 68634 and 68654?

Greatest common factor (GCF) of 68634 and 68654 is 2.

GCF(68634,68654) = 2

We will now calculate the prime factors of 68634 and 68654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68634 and 68654.

How to find the GCF of 68634 and 68654?

We will first find the prime factorization of 68634 and 68654. After we will calculate the factors of 68634 and 68654 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68654

Prime factors of 68654 are 2, 34327. Prime factorization of 68654 in exponential form is:

68654 = 2¹ × 34327¹

Step-3: Factors of 68634

List of positive integer factors of 68634 that divides 68634 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

Step-4: Factors of 68654

List of positive integer factors of 68654 that divides 68634 without a remainder.

1, 2, 34327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68634 and 68654. The biggest common factor number is the GCF number.
So the greatest common factor 68634 and 68654 is 2.

Also check out the Least Common Multiple of 68634 and 68654