What is the Greatest Common Factor of 95675 and 95680?

Greatest common factor (GCF) of 95675 and 95680 is 5.

GCF(95675,95680) = 5

We will now calculate the prime factors of 95675 and 95680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95675 and 95680.

How to find the GCF of 95675 and 95680?

We will first find the prime factorization of 95675 and 95680. After we will calculate the factors of 95675 and 95680 and find the biggest common factor number .

Step-1: Prime Factorization of 95675

Prime factors of 95675 are 5, 43, 89. Prime factorization of 95675 in exponential form is:

95675 = 5² × 43¹ × 89¹

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 95675

List of positive integer factors of 95675 that divides 95675 without a remainder.

1, 5, 25, 43, 89, 215, 445, 1075, 2225, 3827, 19135

Step-4: Factors of 95680

List of positive integer factors of 95680 that divides 95675 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 95675 and 95680. The biggest common factor number is the GCF number.
So the greatest common factor 95675 and 95680 is 5.

Also check out the Least Common Multiple of 95675 and 95680