What is the Greatest Common Factor of 81849 and 81858?

Greatest common factor (GCF) of 81849 and 81858 is 3.

GCF(81849,81858) = 3

We will now calculate the prime factors of 81849 and 81858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81849 and 81858.

How to find the GCF of 81849 and 81858?

We will first find the prime factorization of 81849 and 81858. After we will calculate the factors of 81849 and 81858 and find the biggest common factor number .

Step-1: Prime Factorization of 81849

Prime factors of 81849 are 3, 27283. Prime factorization of 81849 in exponential form is:

81849 = 3¹ × 27283¹

Step-2: 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-3: Factors of 81849

List of positive integer factors of 81849 that divides 81849 without a remainder.

1, 3, 27283

Step-4: Factors of 81858

List of positive integer factors of 81858 that divides 81849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81849 and 81858. The biggest common factor number is the GCF number.
So the greatest common factor 81849 and 81858 is 3.

Also check out the Least Common Multiple of 81849 and 81858