What is the Greatest Common Factor of 95180 and 95200?

Greatest common factor (GCF) of 95180 and 95200 is 20.

GCF(95180,95200) = 20

We will now calculate the prime factors of 95180 and 95200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95180 and 95200.

How to find the GCF of 95180 and 95200?

We will first find the prime factorization of 95180 and 95200. After we will calculate the factors of 95180 and 95200 and find the biggest common factor number .

Step-1: Prime Factorization of 95180

Prime factors of 95180 are 2, 5, 4759. Prime factorization of 95180 in exponential form is:

95180 = 2² × 5¹ × 4759¹

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 95180

List of positive integer factors of 95180 that divides 95180 without a remainder.

1, 2, 4, 5, 10, 20, 4759, 9518, 19036, 23795, 47590

Step-4: Factors of 95200

List of positive integer factors of 95200 that divides 95180 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 95180 and 95200. The biggest common factor number is the GCF number.
So the greatest common factor 95180 and 95200 is 20.

Also check out the Least Common Multiple of 95180 and 95200