What is the Greatest Common Factor of 46665 and 46685?

Greatest common factor (GCF) of 46665 and 46685 is 5.

GCF(46665,46685) = 5

We will now calculate the prime factors of 46665 and 46685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46665 and 46685.

How to find the GCF of 46665 and 46685?

We will first find the prime factorization of 46665 and 46685. After we will calculate the factors of 46665 and 46685 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 46685

Prime factors of 46685 are 5, 9337. Prime factorization of 46685 in exponential form is:

46685 = 5¹ × 9337¹

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 46685

List of positive integer factors of 46685 that divides 46665 without a remainder.

1, 5, 9337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46665 and 46685. The biggest common factor number is the GCF number.
So the greatest common factor 46665 and 46685 is 5.

Also check out the Least Common Multiple of 46665 and 46685