What is the Greatest Common Factor of 46980 and 46992?

Greatest common factor (GCF) of 46980 and 46992 is 12.

GCF(46980,46992) = 12

We will now calculate the prime factors of 46980 and 46992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46980 and 46992.

How to find the GCF of 46980 and 46992?

We will first find the prime factorization of 46980 and 46992. After we will calculate the factors of 46980 and 46992 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 46992

Prime factors of 46992 are 2, 3, 11, 89. Prime factorization of 46992 in exponential form is:

46992 = 2⁴ × 3¹ × 11¹ × 89¹

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 46992

List of positive integer factors of 46992 that divides 46980 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 89, 132, 176, 178, 264, 267, 356, 528, 534, 712, 979, 1068, 1424, 1958, 2136, 2937, 3916, 4272, 5874, 7832, 11748, 15664, 23496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46980 and 46992. The biggest common factor number is the GCF number.
So the greatest common factor 46980 and 46992 is 12.

Also check out the Least Common Multiple of 46980 and 46992