What is the Greatest Common Factor of 87680 and 87696?

Greatest common factor (GCF) of 87680 and 87696 is 16.

GCF(87680,87696) = 16

We will now calculate the prime factors of 87680 and 87696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87680 and 87696.

How to find the GCF of 87680 and 87696?

We will first find the prime factorization of 87680 and 87696. After we will calculate the factors of 87680 and 87696 and find the biggest common factor number .

Step-1: Prime Factorization of 87680

Prime factors of 87680 are 2, 5, 137. Prime factorization of 87680 in exponential form is:

87680 = 2⁷ × 5¹ × 137¹

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 87680

List of positive integer factors of 87680 that divides 87680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 137, 160, 274, 320, 548, 640, 685, 1096, 1370, 2192, 2740, 4384, 5480, 8768, 10960, 17536, 21920, 43840

Step-4: Factors of 87696

List of positive integer factors of 87696 that divides 87680 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 87680 and 87696. The biggest common factor number is the GCF number.
So the greatest common factor 87680 and 87696 is 16.

Also check out the Least Common Multiple of 87680 and 87696