What is the Greatest Common Factor of 92721 and 92736?

Greatest common factor (GCF) of 92721 and 92736 is 3.

GCF(92721,92736) = 3

We will now calculate the prime factors of 92721 and 92736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92721 and 92736.

How to find the GCF of 92721 and 92736?

We will first find the prime factorization of 92721 and 92736. After we will calculate the factors of 92721 and 92736 and find the biggest common factor number .

Step-1: Prime Factorization of 92721

Prime factors of 92721 are 3, 31, 997. Prime factorization of 92721 in exponential form is:

92721 = 3¹ × 31¹ × 997¹

Step-2: Prime Factorization of 92736

Prime factors of 92736 are 2, 3, 7, 23. Prime factorization of 92736 in exponential form is:

92736 = 2⁶ × 3² × 7¹ × 23¹

Step-3: Factors of 92721

List of positive integer factors of 92721 that divides 92721 without a remainder.

1, 3, 31, 93, 997, 2991, 30907

Step-4: Factors of 92736

List of positive integer factors of 92736 that divides 92721 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 28, 32, 36, 42, 46, 48, 56, 63, 64, 69, 72, 84, 92, 96, 112, 126, 138, 144, 161, 168, 184, 192, 207, 224, 252, 276, 288, 322, 336, 368, 414, 448, 483, 504, 552, 576, 644, 672, 736, 828, 966, 1008, 1104, 1288, 1344, 1449, 1472, 1656, 1932, 2016, 2208, 2576, 2898, 3312, 3864, 4032, 4416, 5152, 5796, 6624, 7728, 10304, 11592, 13248, 15456, 23184, 30912, 46368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92721 and 92736. The biggest common factor number is the GCF number.
So the greatest common factor 92721 and 92736 is 3.

Also check out the Least Common Multiple of 92721 and 92736