What is the Greatest Common Factor of 46977 and 46992?

Greatest common factor (GCF) of 46977 and 46992 is 3.

GCF(46977,46992) = 3

We will now calculate the prime factors of 46977 and 46992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46977 and 46992.

How to find the GCF of 46977 and 46992?

We will first find the prime factorization of 46977 and 46992. After we will calculate the factors of 46977 and 46992 and find the biggest common factor number .

Step-1: Prime Factorization of 46977

Prime factors of 46977 are 3, 7, 2237. Prime factorization of 46977 in exponential form is:

46977 = 3¹ × 7¹ × 2237¹

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 46977

List of positive integer factors of 46977 that divides 46977 without a remainder.

1, 3, 7, 21, 2237, 6711, 15659

Step-4: Factors of 46992

List of positive integer factors of 46992 that divides 46977 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 46977 and 46992. The biggest common factor number is the GCF number.
So the greatest common factor 46977 and 46992 is 3.

Also check out the Least Common Multiple of 46977 and 46992