What is the Greatest Common Factor of 83895 and 83900?

Greatest common factor (GCF) of 83895 and 83900 is 5.

GCF(83895,83900) = 5

We will now calculate the prime factors of 83895 and 83900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83895 and 83900.

How to find the GCF of 83895 and 83900?

We will first find the prime factorization of 83895 and 83900. After we will calculate the factors of 83895 and 83900 and find the biggest common factor number .

Step-1: Prime Factorization of 83895

Prime factors of 83895 are 3, 5, 7, 17, 47. Prime factorization of 83895 in exponential form is:

83895 = 3¹ × 5¹ × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 83900

Prime factors of 83900 are 2, 5, 839. Prime factorization of 83900 in exponential form is:

83900 = 2² × 5² × 839¹

Step-3: Factors of 83895

List of positive integer factors of 83895 that divides 83895 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 47, 51, 85, 105, 119, 141, 235, 255, 329, 357, 595, 705, 799, 987, 1645, 1785, 2397, 3995, 4935, 5593, 11985, 16779, 27965

Step-4: Factors of 83900

List of positive integer factors of 83900 that divides 83895 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 839, 1678, 3356, 4195, 8390, 16780, 20975, 41950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83895 and 83900. The biggest common factor number is the GCF number.
So the greatest common factor 83895 and 83900 is 5.

Also check out the Least Common Multiple of 83895 and 83900