What is the Greatest Common Factor of 87696 and 87712?

Greatest common factor (GCF) of 87696 and 87712 is 16.

GCF(87696,87712) = 16

We will now calculate the prime factors of 87696 and 87712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87696 and 87712.

How to find the GCF of 87696 and 87712?

We will first find the prime factorization of 87696 and 87712. After we will calculate the factors of 87696 and 87712 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87712

Prime factors of 87712 are 2, 2741. Prime factorization of 87712 in exponential form is:

87712 = 2⁵ × 2741¹

Step-3: Factors of 87696

List of positive integer factors of 87696 that divides 87696 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

Step-4: Factors of 87712

List of positive integer factors of 87712 that divides 87696 without a remainder.

1, 2, 4, 8, 16, 32, 2741, 5482, 10964, 21928, 43856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87696 and 87712. The biggest common factor number is the GCF number.
So the greatest common factor 87696 and 87712 is 16.

Also check out the Least Common Multiple of 87696 and 87712