What is the Greatest Common Factor of 81185 and 81200?

Greatest common factor (GCF) of 81185 and 81200 is 5.

GCF(81185,81200) = 5

We will now calculate the prime factors of 81185 and 81200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81185 and 81200.

How to find the GCF of 81185 and 81200?

We will first find the prime factorization of 81185 and 81200. After we will calculate the factors of 81185 and 81200 and find the biggest common factor number .

Step-1: Prime Factorization of 81185

Prime factors of 81185 are 5, 13, 1249. Prime factorization of 81185 in exponential form is:

81185 = 5¹ × 13¹ × 1249¹

Step-2: Prime Factorization of 81200

Prime factors of 81200 are 2, 5, 7, 29. Prime factorization of 81200 in exponential form is:

81200 = 2⁴ × 5² × 7¹ × 29¹

Step-3: Factors of 81185

List of positive integer factors of 81185 that divides 81185 without a remainder.

1, 5, 13, 65, 1249, 6245, 16237

Step-4: Factors of 81200

List of positive integer factors of 81200 that divides 81185 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 29, 35, 40, 50, 56, 58, 70, 80, 100, 112, 116, 140, 145, 175, 200, 203, 232, 280, 290, 350, 400, 406, 464, 560, 580, 700, 725, 812, 1015, 1160, 1400, 1450, 1624, 2030, 2320, 2800, 2900, 3248, 4060, 5075, 5800, 8120, 10150, 11600, 16240, 20300, 40600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81185 and 81200. The biggest common factor number is the GCF number.
So the greatest common factor 81185 and 81200 is 5.

Also check out the Least Common Multiple of 81185 and 81200