What is the Greatest Common Factor of 81844 and 81858?

Greatest common factor (GCF) of 81844 and 81858 is 14.

GCF(81844,81858) = 14

We will now calculate the prime factors of 81844 and 81858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81844 and 81858.

How to find the GCF of 81844 and 81858?

We will first find the prime factorization of 81844 and 81858. After we will calculate the factors of 81844 and 81858 and find the biggest common factor number .

Step-1: Prime Factorization of 81844

Prime factors of 81844 are 2, 7, 37, 79. Prime factorization of 81844 in exponential form is:

81844 = 2² × 7¹ × 37¹ × 79¹

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 81844

List of positive integer factors of 81844 that divides 81844 without a remainder.

1, 2, 4, 7, 14, 28, 37, 74, 79, 148, 158, 259, 316, 518, 553, 1036, 1106, 2212, 2923, 5846, 11692, 20461, 40922

Step-4: Factors of 81858

List of positive integer factors of 81858 that divides 81844 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 81844 and 81858. The biggest common factor number is the GCF number.
So the greatest common factor 81844 and 81858 is 14.

Also check out the Least Common Multiple of 81844 and 81858