What is the Greatest Common Factor of 95200 and 95220?

Greatest common factor (GCF) of 95200 and 95220 is 20.

GCF(95200,95220) = 20

We will now calculate the prime factors of 95200 and 95220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95200 and 95220.

How to find the GCF of 95200 and 95220?

We will first find the prime factorization of 95200 and 95220. After we will calculate the factors of 95200 and 95220 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 95220

Prime factors of 95220 are 2, 3, 5, 23. Prime factorization of 95220 in exponential form is:

95220 = 2² × 3² × 5¹ × 23²

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 95220

List of positive integer factors of 95220 that divides 95200 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 529, 690, 828, 1035, 1058, 1380, 1587, 2070, 2116, 2645, 3174, 4140, 4761, 5290, 6348, 7935, 9522, 10580, 15870, 19044, 23805, 31740, 47610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95200 and 95220. The biggest common factor number is the GCF number.
So the greatest common factor 95200 and 95220 is 20.

Also check out the Least Common Multiple of 95200 and 95220