What is the Greatest Common Factor of 95850 and 95860?

Greatest common factor (GCF) of 95850 and 95860 is 10.

GCF(95850,95860) = 10

We will now calculate the prime factors of 95850 and 95860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95850 and 95860.

How to find the GCF of 95850 and 95860?

We will first find the prime factorization of 95850 and 95860. After we will calculate the factors of 95850 and 95860 and find the biggest common factor number .

Step-1: Prime Factorization of 95850

Prime factors of 95850 are 2, 3, 5, 71. Prime factorization of 95850 in exponential form is:

95850 = 2¹ × 3³ × 5² × 71¹

Step-2: Prime Factorization of 95860

Prime factors of 95860 are 2, 5, 4793. Prime factorization of 95860 in exponential form is:

95860 = 2² × 5¹ × 4793¹

Step-3: Factors of 95850

List of positive integer factors of 95850 that divides 95850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 71, 75, 90, 135, 142, 150, 213, 225, 270, 355, 426, 450, 639, 675, 710, 1065, 1278, 1350, 1775, 1917, 2130, 3195, 3550, 3834, 5325, 6390, 9585, 10650, 15975, 19170, 31950, 47925

Step-4: Factors of 95860

List of positive integer factors of 95860 that divides 95850 without a remainder.

1, 2, 4, 5, 10, 20, 4793, 9586, 19172, 23965, 47930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95850 and 95860. The biggest common factor number is the GCF number.
So the greatest common factor 95850 and 95860 is 10.

Also check out the Least Common Multiple of 95850 and 95860