What is the Greatest Common Factor of 95200 and 95204?

Greatest common factor (GCF) of 95200 and 95204 is 4.

GCF(95200,95204) = 4

We will now calculate the prime factors of 95200 and 95204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95200 and 95204.

How to find the GCF of 95200 and 95204?

We will first find the prime factorization of 95200 and 95204. After we will calculate the factors of 95200 and 95204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95204

Prime factors of 95204 are 2, 23801. Prime factorization of 95204 in exponential form is:

95204 = 2² × 23801¹

Step-3: Factors of 95200

List of positive integer factors of 95200 that divides 95200 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

Step-4: Factors of 95204

List of positive integer factors of 95204 that divides 95200 without a remainder.

1, 2, 4, 23801, 47602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95200 and 95204. The biggest common factor number is the GCF number.
So the greatest common factor 95200 and 95204 is 4.

Also check out the Least Common Multiple of 95200 and 95204