What is the Greatest Common Factor of 95195 and 95200?

Greatest common factor (GCF) of 95195 and 95200 is 5.

GCF(95195,95200) = 5

We will now calculate the prime factors of 95195 and 95200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95195 and 95200.

How to find the GCF of 95195 and 95200?

We will first find the prime factorization of 95195 and 95200. After we will calculate the factors of 95195 and 95200 and find the biggest common factor number .

Step-1: Prime Factorization of 95195

Prime factors of 95195 are 5, 79, 241. Prime factorization of 95195 in exponential form is:

95195 = 5¹ × 79¹ × 241¹

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 95195

List of positive integer factors of 95195 that divides 95195 without a remainder.

1, 5, 79, 241, 395, 1205, 19039

Step-4: Factors of 95200

List of positive integer factors of 95200 that divides 95195 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 95195 and 95200. The biggest common factor number is the GCF number.
So the greatest common factor 95195 and 95200 is 5.

Also check out the Least Common Multiple of 95195 and 95200