What is the Greatest Common Factor of 46965 and 46980?

Greatest common factor (GCF) of 46965 and 46980 is 15.

GCF(46965,46980) = 15

We will now calculate the prime factors of 46965 and 46980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46965 and 46980.

How to find the GCF of 46965 and 46980?

We will first find the prime factorization of 46965 and 46980. After we will calculate the factors of 46965 and 46980 and find the biggest common factor number .

Step-1: Prime Factorization of 46965

Prime factors of 46965 are 3, 5, 31, 101. Prime factorization of 46965 in exponential form is:

46965 = 3¹ × 5¹ × 31¹ × 101¹

Step-2: Prime Factorization of 46980

Prime factors of 46980 are 2, 3, 5, 29. Prime factorization of 46980 in exponential form is:

46980 = 2² × 3⁴ × 5¹ × 29¹

Step-3: Factors of 46965

List of positive integer factors of 46965 that divides 46965 without a remainder.

1, 3, 5, 15, 31, 93, 101, 155, 303, 465, 505, 1515, 3131, 9393, 15655

Step-4: Factors of 46980

List of positive integer factors of 46980 that divides 46965 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 29, 30, 36, 45, 54, 58, 60, 81, 87, 90, 108, 116, 135, 145, 162, 174, 180, 261, 270, 290, 324, 348, 405, 435, 522, 540, 580, 783, 810, 870, 1044, 1305, 1566, 1620, 1740, 2349, 2610, 3132, 3915, 4698, 5220, 7830, 9396, 11745, 15660, 23490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46965 and 46980. The biggest common factor number is the GCF number.
So the greatest common factor 46965 and 46980 is 15.

Also check out the Least Common Multiple of 46965 and 46980