What is the Greatest Common Factor of 87688 and 87696?

Greatest common factor (GCF) of 87688 and 87696 is 8.

GCF(87688,87696) = 8

We will now calculate the prime factors of 87688 and 87696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87688 and 87696.

How to find the GCF of 87688 and 87696?

We will first find the prime factorization of 87688 and 87696. After we will calculate the factors of 87688 and 87696 and find the biggest common factor number .

Step-1: Prime Factorization of 87688

Prime factors of 87688 are 2, 97, 113. Prime factorization of 87688 in exponential form is:

87688 = 2³ × 97¹ × 113¹

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 87688

List of positive integer factors of 87688 that divides 87688 without a remainder.

1, 2, 4, 8, 97, 113, 194, 226, 388, 452, 776, 904, 10961, 21922, 43844

Step-4: Factors of 87696

List of positive integer factors of 87696 that divides 87688 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 87688 and 87696. The biggest common factor number is the GCF number.
So the greatest common factor 87688 and 87696 is 8.

Also check out the Least Common Multiple of 87688 and 87696