What is the Greatest Common Factor of 95680 and 95696?

Greatest common factor (GCF) of 95680 and 95696 is 16.

GCF(95680,95696) = 16

We will now calculate the prime factors of 95680 and 95696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95680 and 95696.

How to find the GCF of 95680 and 95696?

We will first find the prime factorization of 95680 and 95696. After we will calculate the factors of 95680 and 95696 and find the biggest common factor number .

Step-1: Prime Factorization of 95680

Prime factors of 95680 are 2, 5, 13, 23. Prime factorization of 95680 in exponential form is:

95680 = 2⁶ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 95696

Prime factors of 95696 are 2, 5981. Prime factorization of 95696 in exponential form is:

95696 = 2⁴ × 5981¹

Step-3: Factors of 95680

List of positive integer factors of 95680 that divides 95680 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 23, 26, 32, 40, 46, 52, 64, 65, 80, 92, 104, 115, 130, 160, 184, 208, 230, 260, 299, 320, 368, 416, 460, 520, 598, 736, 832, 920, 1040, 1196, 1472, 1495, 1840, 2080, 2392, 2990, 3680, 4160, 4784, 5980, 7360, 9568, 11960, 19136, 23920, 47840

Step-4: Factors of 95696

List of positive integer factors of 95696 that divides 95680 without a remainder.

1, 2, 4, 8, 16, 5981, 11962, 23924, 47848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95680 and 95696. The biggest common factor number is the GCF number.
So the greatest common factor 95680 and 95696 is 16.

Also check out the Least Common Multiple of 95680 and 95696