What is the Greatest Common Factor of 46665 and 46678?

Greatest common factor (GCF) of 46665 and 46678 is 1.

GCF(46665,46678) = 1

We will now calculate the prime factors of 46665 and 46678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46665 and 46678.

How to find the GCF of 46665 and 46678?

We will first find the prime factorization of 46665 and 46678. After we will calculate the factors of 46665 and 46678 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 46678

Prime factors of 46678 are 2, 23339. Prime factorization of 46678 in exponential form is:

46678 = 2¹ × 23339¹

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 46678

List of positive integer factors of 46678 that divides 46665 without a remainder.

1, 2, 23339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46665 and 46678. The biggest common factor number is the GCF number.
So the greatest common factor 46665 and 46678 is 1.

Also check out the Least Common Multiple of 46665 and 46678