What is the Greatest Common Factor of 87696 and 87708?

Greatest common factor (GCF) of 87696 and 87708 is 12.

GCF(87696,87708) = 12

We will now calculate the prime factors of 87696 and 87708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87696 and 87708.

How to find the GCF of 87696 and 87708?

We will first find the prime factorization of 87696 and 87708. After we will calculate the factors of 87696 and 87708 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 87708

Prime factors of 87708 are 2, 3, 7309. Prime factorization of 87708 in exponential form is:

87708 = 2² × 3¹ × 7309¹

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 87708

List of positive integer factors of 87708 that divides 87696 without a remainder.

1, 2, 3, 4, 6, 12, 7309, 14618, 21927, 29236, 43854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87696 and 87708. The biggest common factor number is the GCF number.
So the greatest common factor 87696 and 87708 is 12.

Also check out the Least Common Multiple of 87696 and 87708