What is the Greatest Common Factor of 46665 and 46682?

Greatest common factor (GCF) of 46665 and 46682 is 17.

GCF(46665,46682) = 17

We will now calculate the prime factors of 46665 and 46682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46665 and 46682.

How to find the GCF of 46665 and 46682?

We will first find the prime factorization of 46665 and 46682. After we will calculate the factors of 46665 and 46682 and find the biggest common factor number .

Step-1: Prime Factorization of 46665

Prime factors of 46665 are 3, 5, 17, 61. Prime factorization of 46665 in exponential form is:

46665 = 3² × 5¹ × 17¹ × 61¹

Step-2: Prime Factorization of 46682

Prime factors of 46682 are 2, 17, 1373. Prime factorization of 46682 in exponential form is:

46682 = 2¹ × 17¹ × 1373¹

Step-3: Factors of 46665

List of positive integer factors of 46665 that divides 46665 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 61, 85, 153, 183, 255, 305, 549, 765, 915, 1037, 2745, 3111, 5185, 9333, 15555

Step-4: Factors of 46682

List of positive integer factors of 46682 that divides 46665 without a remainder.

1, 2, 17, 34, 1373, 2746, 23341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46665 and 46682. The biggest common factor number is the GCF number.
So the greatest common factor 46665 and 46682 is 17.

Also check out the Least Common Multiple of 46665 and 46682