What is the Greatest Common Factor of 95680 and 95700?

Greatest common factor (GCF) of 95680 and 95700 is 20.

GCF(95680,95700) = 20

We will now calculate the prime factors of 95680 and 95700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95680 and 95700.

How to find the GCF of 95680 and 95700?

We will first find the prime factorization of 95680 and 95700. After we will calculate the factors of 95680 and 95700 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 95700

Prime factors of 95700 are 2, 3, 5, 11, 29. Prime factorization of 95700 in exponential form is:

95700 = 2² × 3¹ × 5² × 11¹ × 29¹

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 95700

List of positive integer factors of 95700 that divides 95680 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 29, 30, 33, 44, 50, 55, 58, 60, 66, 75, 87, 100, 110, 116, 132, 145, 150, 165, 174, 220, 275, 290, 300, 319, 330, 348, 435, 550, 580, 638, 660, 725, 825, 870, 957, 1100, 1276, 1450, 1595, 1650, 1740, 1914, 2175, 2900, 3190, 3300, 3828, 4350, 4785, 6380, 7975, 8700, 9570, 15950, 19140, 23925, 31900, 47850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95680 and 95700. The biggest common factor number is the GCF number.
So the greatest common factor 95680 and 95700 is 20.

Also check out the Least Common Multiple of 95680 and 95700