What is the Greatest Common Factor of 92736 and 92748?

Greatest common factor (GCF) of 92736 and 92748 is 12.

GCF(92736,92748) = 12

We will now calculate the prime factors of 92736 and 92748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92736 and 92748.

How to find the GCF of 92736 and 92748?

We will first find the prime factorization of 92736 and 92748. After we will calculate the factors of 92736 and 92748 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92748

Prime factors of 92748 are 2, 3, 59, 131. Prime factorization of 92748 in exponential form is:

92748 = 2² × 3¹ × 59¹ × 131¹

Step-3: Factors of 92736

List of positive integer factors of 92736 that divides 92736 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

Step-4: Factors of 92748

List of positive integer factors of 92748 that divides 92736 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 131, 177, 236, 262, 354, 393, 524, 708, 786, 1572, 7729, 15458, 23187, 30916, 46374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92736 and 92748. The biggest common factor number is the GCF number.
So the greatest common factor 92736 and 92748 is 12.

Also check out the Least Common Multiple of 92736 and 92748