What is the Greatest Common Factor of 73678 and 73689?

Greatest common factor (GCF) of 73678 and 73689 is 11.

GCF(73678,73689) = 11

We will now calculate the prime factors of 73678 and 73689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73678 and 73689.

How to find the GCF of 73678 and 73689?

We will first find the prime factorization of 73678 and 73689. After we will calculate the factors of 73678 and 73689 and find the biggest common factor number .

Step-1: Prime Factorization of 73678

Prime factors of 73678 are 2, 11, 17, 197. Prime factorization of 73678 in exponential form is:

73678 = 2¹ × 11¹ × 17¹ × 197¹

Step-2: Prime Factorization of 73689

Prime factors of 73689 are 3, 7, 11, 29. Prime factorization of 73689 in exponential form is:

73689 = 3¹ × 7¹ × 11² × 29¹

Step-3: Factors of 73678

List of positive integer factors of 73678 that divides 73678 without a remainder.

1, 2, 11, 17, 22, 34, 187, 197, 374, 394, 2167, 3349, 4334, 6698, 36839

Step-4: Factors of 73689

List of positive integer factors of 73689 that divides 73678 without a remainder.

1, 3, 7, 11, 21, 29, 33, 77, 87, 121, 203, 231, 319, 363, 609, 847, 957, 2233, 2541, 3509, 6699, 10527, 24563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73678 and 73689. The biggest common factor number is the GCF number.
So the greatest common factor 73678 and 73689 is 11.

Also check out the Least Common Multiple of 73678 and 73689