What is the Greatest Common Factor of 46992 and 47004?

Greatest common factor (GCF) of 46992 and 47004 is 12.

GCF(46992,47004) = 12

We will now calculate the prime factors of 46992 and 47004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46992 and 47004.

How to find the GCF of 46992 and 47004?

We will first find the prime factorization of 46992 and 47004. After we will calculate the factors of 46992 and 47004 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47004

Prime factors of 47004 are 2, 3, 3917. Prime factorization of 47004 in exponential form is:

47004 = 2² × 3¹ × 3917¹

Step-3: Factors of 46992

List of positive integer factors of 46992 that divides 46992 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

Step-4: Factors of 47004

List of positive integer factors of 47004 that divides 46992 without a remainder.

1, 2, 3, 4, 6, 12, 3917, 7834, 11751, 15668, 23502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46992 and 47004. The biggest common factor number is the GCF number.
So the greatest common factor 46992 and 47004 is 12.

Also check out the Least Common Multiple of 46992 and 47004