What is the Greatest Common Factor of 46983 and 46992?

Greatest common factor (GCF) of 46983 and 46992 is 3.

GCF(46983,46992) = 3

We will now calculate the prime factors of 46983 and 46992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46983 and 46992.

How to find the GCF of 46983 and 46992?

We will first find the prime factorization of 46983 and 46992. After we will calculate the factors of 46983 and 46992 and find the biggest common factor number .

Step-1: Prime Factorization of 46983

Prime factors of 46983 are 3, 15661. Prime factorization of 46983 in exponential form is:

46983 = 3¹ × 15661¹

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 46983

List of positive integer factors of 46983 that divides 46983 without a remainder.

1, 3, 15661

Step-4: Factors of 46992

List of positive integer factors of 46992 that divides 46983 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 46983 and 46992. The biggest common factor number is the GCF number.
So the greatest common factor 46983 and 46992 is 3.

Also check out the Least Common Multiple of 46983 and 46992