What is the Greatest Common Factor of 87684 and 87696?

Greatest common factor (GCF) of 87684 and 87696 is 12.

GCF(87684,87696) = 12

We will now calculate the prime factors of 87684 and 87696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87684 and 87696.

How to find the GCF of 87684 and 87696?

We will first find the prime factorization of 87684 and 87696. After we will calculate the factors of 87684 and 87696 and find the biggest common factor number .

Step-1: Prime Factorization of 87684

Prime factors of 87684 are 2, 3, 7307. Prime factorization of 87684 in exponential form is:

87684 = 2² × 3¹ × 7307¹

Step-2: Prime Factorization of 87696

Prime factors of 87696 are 2, 3, 7, 29. Prime factorization of 87696 in exponential form is:

87696 = 2⁴ × 3³ × 7¹ × 29¹

Step-3: Factors of 87684

List of positive integer factors of 87684 that divides 87684 without a remainder.

1, 2, 3, 4, 6, 12, 7307, 14614, 21921, 29228, 43842

Step-4: Factors of 87696

List of positive integer factors of 87696 that divides 87684 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 29, 36, 42, 48, 54, 56, 58, 63, 72, 84, 87, 108, 112, 116, 126, 144, 168, 174, 189, 203, 216, 232, 252, 261, 336, 348, 378, 406, 432, 464, 504, 522, 609, 696, 756, 783, 812, 1008, 1044, 1218, 1392, 1512, 1566, 1624, 1827, 2088, 2436, 3024, 3132, 3248, 3654, 4176, 4872, 5481, 6264, 7308, 9744, 10962, 12528, 14616, 21924, 29232, 43848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87684 and 87696. The biggest common factor number is the GCF number.
So the greatest common factor 87684 and 87696 is 12.

Also check out the Least Common Multiple of 87684 and 87696