What is the Greatest Common Factor of 95670 and 95680?

Greatest common factor (GCF) of 95670 and 95680 is 10.

GCF(95670,95680) = 10

We will now calculate the prime factors of 95670 and 95680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95670 and 95680.

How to find the GCF of 95670 and 95680?

We will first find the prime factorization of 95670 and 95680. After we will calculate the factors of 95670 and 95680 and find the biggest common factor number .

Step-1: Prime Factorization of 95670

Prime factors of 95670 are 2, 3, 5, 1063. Prime factorization of 95670 in exponential form is:

95670 = 2¹ × 3² × 5¹ × 1063¹

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 95670

List of positive integer factors of 95670 that divides 95670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1063, 2126, 3189, 5315, 6378, 9567, 10630, 15945, 19134, 31890, 47835

Step-4: Factors of 95680

List of positive integer factors of 95680 that divides 95670 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 95670 and 95680. The biggest common factor number is the GCF number.
So the greatest common factor 95670 and 95680 is 10.

Also check out the Least Common Multiple of 95670 and 95680