What is the Greatest Common Factor of 35663 and 35682?

Greatest common factor (GCF) of 35663 and 35682 is 19.

GCF(35663,35682) = 19

We will now calculate the prime factors of 35663 and 35682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35663 and 35682.

How to find the GCF of 35663 and 35682?

We will first find the prime factorization of 35663 and 35682. After we will calculate the factors of 35663 and 35682 and find the biggest common factor number .

Step-1: Prime Factorization of 35663

Prime factors of 35663 are 19, 1877. Prime factorization of 35663 in exponential form is:

35663 = 19¹ × 1877¹

Step-2: Prime Factorization of 35682

Prime factors of 35682 are 2, 3, 19, 313. Prime factorization of 35682 in exponential form is:

35682 = 2¹ × 3¹ × 19¹ × 313¹

Step-3: Factors of 35663

List of positive integer factors of 35663 that divides 35663 without a remainder.

1, 19, 1877

Step-4: Factors of 35682

List of positive integer factors of 35682 that divides 35663 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 313, 626, 939, 1878, 5947, 11894, 17841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35663 and 35682. The biggest common factor number is the GCF number.
So the greatest common factor 35663 and 35682 is 19.

Also check out the Least Common Multiple of 35663 and 35682