What is the Greatest Common Factor of 76692 and 76704?

Greatest common factor (GCF) of 76692 and 76704 is 12.

GCF(76692,76704) = 12

We will now calculate the prime factors of 76692 and 76704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76692 and 76704.

How to find the GCF of 76692 and 76704?

We will first find the prime factorization of 76692 and 76704. After we will calculate the factors of 76692 and 76704 and find the biggest common factor number .

Step-1: Prime Factorization of 76692

Prime factors of 76692 are 2, 3, 7, 11, 83. Prime factorization of 76692 in exponential form is:

76692 = 2² × 3¹ × 7¹ × 11¹ × 83¹

Step-2: Prime Factorization of 76704

Prime factors of 76704 are 2, 3, 17, 47. Prime factorization of 76704 in exponential form is:

76704 = 2⁵ × 3¹ × 17¹ × 47¹

Step-3: Factors of 76692

List of positive integer factors of 76692 that divides 76692 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 83, 84, 132, 154, 166, 231, 249, 308, 332, 462, 498, 581, 913, 924, 996, 1162, 1743, 1826, 2324, 2739, 3486, 3652, 5478, 6391, 6972, 10956, 12782, 19173, 25564, 38346

Step-4: Factors of 76704

List of positive integer factors of 76704 that divides 76692 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 47, 48, 51, 68, 94, 96, 102, 136, 141, 188, 204, 272, 282, 376, 408, 544, 564, 752, 799, 816, 1128, 1504, 1598, 1632, 2256, 2397, 3196, 4512, 4794, 6392, 9588, 12784, 19176, 25568, 38352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76692 and 76704. The biggest common factor number is the GCF number.
So the greatest common factor 76692 and 76704 is 12.

Also check out the Least Common Multiple of 76692 and 76704