What is the Greatest Common Factor of 81830 and 81844?

Greatest common factor (GCF) of 81830 and 81844 is 14.

GCF(81830,81844) = 14

We will now calculate the prime factors of 81830 and 81844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81830 and 81844.

How to find the GCF of 81830 and 81844?

We will first find the prime factorization of 81830 and 81844. After we will calculate the factors of 81830 and 81844 and find the biggest common factor number .

Step-1: Prime Factorization of 81830

Prime factors of 81830 are 2, 5, 7, 167. Prime factorization of 81830 in exponential form is:

81830 = 2¹ × 5¹ × 7² × 167¹

Step-2: 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-3: Factors of 81830

List of positive integer factors of 81830 that divides 81830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 167, 245, 334, 490, 835, 1169, 1670, 2338, 5845, 8183, 11690, 16366, 40915

Step-4: Factors of 81844

List of positive integer factors of 81844 that divides 81830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81830 and 81844. The biggest common factor number is the GCF number.
So the greatest common factor 81830 and 81844 is 14.

Also check out the Least Common Multiple of 81830 and 81844