What is the Greatest Common Factor of 95200 and 95216?

Greatest common factor (GCF) of 95200 and 95216 is 16.

GCF(95200,95216) = 16

We will now calculate the prime factors of 95200 and 95216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95200 and 95216.

How to find the GCF of 95200 and 95216?

We will first find the prime factorization of 95200 and 95216. After we will calculate the factors of 95200 and 95216 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 95216

Prime factors of 95216 are 2, 11, 541. Prime factorization of 95216 in exponential form is:

95216 = 2⁴ × 11¹ × 541¹

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 95216

List of positive integer factors of 95216 that divides 95200 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 541, 1082, 2164, 4328, 5951, 8656, 11902, 23804, 47608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95200 and 95216. The biggest common factor number is the GCF number.
So the greatest common factor 95200 and 95216 is 16.

Also check out the Least Common Multiple of 95200 and 95216