What is the Greatest Common Factor of 46980 and 46996?

Greatest common factor (GCF) of 46980 and 46996 is 4.

GCF(46980,46996) = 4

We will now calculate the prime factors of 46980 and 46996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46980 and 46996.

How to find the GCF of 46980 and 46996?

We will first find the prime factorization of 46980 and 46996. After we will calculate the factors of 46980 and 46996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46996

Prime factors of 46996 are 2, 31, 379. Prime factorization of 46996 in exponential form is:

46996 = 2² × 31¹ × 379¹

Step-3: Factors of 46980

List of positive integer factors of 46980 that divides 46980 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

Step-4: Factors of 46996

List of positive integer factors of 46996 that divides 46980 without a remainder.

1, 2, 4, 31, 62, 124, 379, 758, 1516, 11749, 23498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46980 and 46996. The biggest common factor number is the GCF number.
So the greatest common factor 46980 and 46996 is 4.

Also check out the Least Common Multiple of 46980 and 46996