What is the Greatest Common Factor of 95183 and 95200?

Greatest common factor (GCF) of 95183 and 95200 is 17.

GCF(95183,95200) = 17

We will now calculate the prime factors of 95183 and 95200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95183 and 95200.

How to find the GCF of 95183 and 95200?

We will first find the prime factorization of 95183 and 95200. After we will calculate the factors of 95183 and 95200 and find the biggest common factor number .

Step-1: Prime Factorization of 95183

Prime factors of 95183 are 11, 17, 509. Prime factorization of 95183 in exponential form is:

95183 = 11¹ × 17¹ × 509¹

Step-2: Prime Factorization of 95200

Prime factors of 95200 are 2, 5, 7, 17. Prime factorization of 95200 in exponential form is:

95200 = 2⁵ × 5² × 7¹ × 17¹

Step-3: Factors of 95183

List of positive integer factors of 95183 that divides 95183 without a remainder.

1, 11, 17, 187, 509, 5599, 8653

Step-4: Factors of 95200

List of positive integer factors of 95200 that divides 95183 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 25, 28, 32, 34, 35, 40, 50, 56, 68, 70, 80, 85, 100, 112, 119, 136, 140, 160, 170, 175, 200, 224, 238, 272, 280, 340, 350, 400, 425, 476, 544, 560, 595, 680, 700, 800, 850, 952, 1120, 1190, 1360, 1400, 1700, 1904, 2380, 2720, 2800, 2975, 3400, 3808, 4760, 5600, 5950, 6800, 9520, 11900, 13600, 19040, 23800, 47600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95183 and 95200. The biggest common factor number is the GCF number.
So the greatest common factor 95183 and 95200 is 17.

Also check out the Least Common Multiple of 95183 and 95200