What is the Greatest Common Factor of 76680 and 76692?

Greatest common factor (GCF) of 76680 and 76692 is 12.

GCF(76680,76692) = 12

We will now calculate the prime factors of 76680 and 76692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76680 and 76692.

How to find the GCF of 76680 and 76692?

We will first find the prime factorization of 76680 and 76692. After we will calculate the factors of 76680 and 76692 and find the biggest common factor number .

Step-1: Prime Factorization of 76680

Prime factors of 76680 are 2, 3, 5, 71. Prime factorization of 76680 in exponential form is:

76680 = 2³ × 3³ × 5¹ × 71¹

Step-2: 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-3: Factors of 76680

List of positive integer factors of 76680 that divides 76680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 71, 72, 90, 108, 120, 135, 142, 180, 213, 216, 270, 284, 355, 360, 426, 540, 568, 639, 710, 852, 1065, 1080, 1278, 1420, 1704, 1917, 2130, 2556, 2840, 3195, 3834, 4260, 5112, 6390, 7668, 8520, 9585, 12780, 15336, 19170, 25560, 38340

Step-4: Factors of 76692

List of positive integer factors of 76692 that divides 76680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76680 and 76692. The biggest common factor number is the GCF number.
So the greatest common factor 76680 and 76692 is 12.

Also check out the Least Common Multiple of 76680 and 76692