What is the Greatest Common Factor of 35682 and 35701?

Greatest common factor (GCF) of 35682 and 35701 is 19.

GCF(35682,35701) = 19

We will now calculate the prime factors of 35682 and 35701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35682 and 35701.

How to find the GCF of 35682 and 35701?

We will first find the prime factorization of 35682 and 35701. After we will calculate the factors of 35682 and 35701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35701

Prime factors of 35701 are 19, 1879. Prime factorization of 35701 in exponential form is:

35701 = 19¹ × 1879¹

Step-3: Factors of 35682

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

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

Step-4: Factors of 35701

List of positive integer factors of 35701 that divides 35682 without a remainder.

1, 19, 1879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35682 and 35701. The biggest common factor number is the GCF number.
So the greatest common factor 35682 and 35701 is 19.

Also check out the Least Common Multiple of 35682 and 35701