What is the Greatest Common Factor of 95664 and 95680?

Greatest common factor (GCF) of 95664 and 95680 is 16.

GCF(95664,95680) = 16

We will now calculate the prime factors of 95664 and 95680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95664 and 95680.

How to find the GCF of 95664 and 95680?

We will first find the prime factorization of 95664 and 95680. After we will calculate the factors of 95664 and 95680 and find the biggest common factor number .

Step-1: Prime Factorization of 95664

Prime factors of 95664 are 2, 3, 1993. Prime factorization of 95664 in exponential form is:

95664 = 2⁴ × 3¹ × 1993¹

Step-2: 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-3: Factors of 95664

List of positive integer factors of 95664 that divides 95664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1993, 3986, 5979, 7972, 11958, 15944, 23916, 31888, 47832

Step-4: Factors of 95680

List of positive integer factors of 95680 that divides 95664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95664 and 95680. The biggest common factor number is the GCF number.
So the greatest common factor 95664 and 95680 is 16.

Also check out the Least Common Multiple of 95664 and 95680