What is the Greatest Common Factor of 46971 and 46980?

Greatest common factor (GCF) of 46971 and 46980 is 9.

GCF(46971,46980) = 9

We will now calculate the prime factors of 46971 and 46980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46971 and 46980.

How to find the GCF of 46971 and 46980?

We will first find the prime factorization of 46971 and 46980. After we will calculate the factors of 46971 and 46980 and find the biggest common factor number .

Step-1: Prime Factorization of 46971

Prime factors of 46971 are 3, 17, 307. Prime factorization of 46971 in exponential form is:

46971 = 3² × 17¹ × 307¹

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 46971

List of positive integer factors of 46971 that divides 46971 without a remainder.

1, 3, 9, 17, 51, 153, 307, 921, 2763, 5219, 15657

Step-4: Factors of 46980

List of positive integer factors of 46980 that divides 46971 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 46971 and 46980. The biggest common factor number is the GCF number.
So the greatest common factor 46971 and 46980 is 9.

Also check out the Least Common Multiple of 46971 and 46980