What is the Greatest Common Factor of 95900 and 95914?

Greatest common factor (GCF) of 95900 and 95914 is 14.

GCF(95900,95914) = 14

We will now calculate the prime factors of 95900 and 95914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95900 and 95914.

How to find the GCF of 95900 and 95914?

We will first find the prime factorization of 95900 and 95914. After we will calculate the factors of 95900 and 95914 and find the biggest common factor number .

Step-1: Prime Factorization of 95900

Prime factors of 95900 are 2, 5, 7, 137. Prime factorization of 95900 in exponential form is:

95900 = 2² × 5² × 7¹ × 137¹

Step-2: Prime Factorization of 95914

Prime factors of 95914 are 2, 7, 13, 17, 31. Prime factorization of 95914 in exponential form is:

95914 = 2¹ × 7¹ × 13¹ × 17¹ × 31¹

Step-3: Factors of 95900

List of positive integer factors of 95900 that divides 95900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 137, 140, 175, 274, 350, 548, 685, 700, 959, 1370, 1918, 2740, 3425, 3836, 4795, 6850, 9590, 13700, 19180, 23975, 47950

Step-4: Factors of 95914

List of positive integer factors of 95914 that divides 95900 without a remainder.

1, 2, 7, 13, 14, 17, 26, 31, 34, 62, 91, 119, 182, 217, 221, 238, 403, 434, 442, 527, 806, 1054, 1547, 2821, 3094, 3689, 5642, 6851, 7378, 13702, 47957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95900 and 95914. The biggest common factor number is the GCF number.
So the greatest common factor 95900 and 95914 is 14.

Also check out the Least Common Multiple of 95900 and 95914