What is the Greatest Common Factor of 46976 and 46992?

Greatest common factor (GCF) of 46976 and 46992 is 16.

GCF(46976,46992) = 16

We will now calculate the prime factors of 46976 and 46992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46976 and 46992.

How to find the GCF of 46976 and 46992?

We will first find the prime factorization of 46976 and 46992. After we will calculate the factors of 46976 and 46992 and find the biggest common factor number .

Step-1: Prime Factorization of 46976

Prime factors of 46976 are 2, 367. Prime factorization of 46976 in exponential form is:

46976 = 2⁷ × 367¹

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 46976

List of positive integer factors of 46976 that divides 46976 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 367, 734, 1468, 2936, 5872, 11744, 23488

Step-4: Factors of 46992

List of positive integer factors of 46992 that divides 46976 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 46976 and 46992. The biggest common factor number is the GCF number.
So the greatest common factor 46976 and 46992 is 16.

Also check out the Least Common Multiple of 46976 and 46992