What is the Greatest Common Factor of 95185 and 95200?

Greatest common factor (GCF) of 95185 and 95200 is 5.

GCF(95185,95200) = 5

We will now calculate the prime factors of 95185 and 95200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95185 and 95200.

How to find the GCF of 95185 and 95200?

We will first find the prime factorization of 95185 and 95200. After we will calculate the factors of 95185 and 95200 and find the biggest common factor number .

Step-1: Prime Factorization of 95185

Prime factors of 95185 are 5, 19037. Prime factorization of 95185 in exponential form is:

95185 = 5¹ × 19037¹

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 95185

List of positive integer factors of 95185 that divides 95185 without a remainder.

1, 5, 19037

Step-4: Factors of 95200

List of positive integer factors of 95200 that divides 95185 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 95185 and 95200. The biggest common factor number is the GCF number.
So the greatest common factor 95185 and 95200 is 5.

Also check out the Least Common Multiple of 95185 and 95200