What is the Greatest Common Factor of 81875 and 81895?

Greatest common factor (GCF) of 81875 and 81895 is 5.

GCF(81875,81895) = 5

We will now calculate the prime factors of 81875 and 81895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81875 and 81895.

How to find the GCF of 81875 and 81895?

We will first find the prime factorization of 81875 and 81895. After we will calculate the factors of 81875 and 81895 and find the biggest common factor number .

Step-1: Prime Factorization of 81875

Prime factors of 81875 are 5, 131. Prime factorization of 81875 in exponential form is:

81875 = 5⁴ × 131¹

Step-2: Prime Factorization of 81895

Prime factors of 81895 are 5, 11, 1489. Prime factorization of 81895 in exponential form is:

81895 = 5¹ × 11¹ × 1489¹

Step-3: Factors of 81875

List of positive integer factors of 81875 that divides 81875 without a remainder.

1, 5, 25, 125, 131, 625, 655, 3275, 16375

Step-4: Factors of 81895

List of positive integer factors of 81895 that divides 81875 without a remainder.

1, 5, 11, 55, 1489, 7445, 16379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81875 and 81895. The biggest common factor number is the GCF number.
So the greatest common factor 81875 and 81895 is 5.

Also check out the Least Common Multiple of 81875 and 81895