What is the Greatest Common Factor of 81858 and 81865?

Greatest common factor (GCF) of 81858 and 81865 is 7.

GCF(81858,81865) = 7

We will now calculate the prime factors of 81858 and 81865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81858 and 81865.

How to find the GCF of 81858 and 81865?

We will first find the prime factorization of 81858 and 81865. After we will calculate the factors of 81858 and 81865 and find the biggest common factor number .

Step-1: Prime Factorization of 81858

Prime factors of 81858 are 2, 3, 7, 1949. Prime factorization of 81858 in exponential form is:

81858 = 2¹ × 3¹ × 7¹ × 1949¹

Step-2: Prime Factorization of 81865

Prime factors of 81865 are 5, 7, 2339. Prime factorization of 81865 in exponential form is:

81865 = 5¹ × 7¹ × 2339¹

Step-3: Factors of 81858

List of positive integer factors of 81858 that divides 81858 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1949, 3898, 5847, 11694, 13643, 27286, 40929

Step-4: Factors of 81865

List of positive integer factors of 81865 that divides 81858 without a remainder.

1, 5, 7, 35, 2339, 11695, 16373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81858 and 81865. The biggest common factor number is the GCF number.
So the greatest common factor 81858 and 81865 is 7.

Also check out the Least Common Multiple of 81858 and 81865