What is the Greatest Common Factor of 81614 and 81627?

Greatest common factor (GCF) of 81614 and 81627 is 13.

GCF(81614,81627) = 13

We will now calculate the prime factors of 81614 and 81627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81614 and 81627.

How to find the GCF of 81614 and 81627?

We will first find the prime factorization of 81614 and 81627. After we will calculate the factors of 81614 and 81627 and find the biggest common factor number .

Step-1: Prime Factorization of 81614

Prime factors of 81614 are 2, 13, 43, 73. Prime factorization of 81614 in exponential form is:

81614 = 2¹ × 13¹ × 43¹ × 73¹

Step-2: Prime Factorization of 81627

Prime factors of 81627 are 3, 7, 13, 23. Prime factorization of 81627 in exponential form is:

81627 = 3¹ × 7¹ × 13² × 23¹

Step-3: Factors of 81614

List of positive integer factors of 81614 that divides 81614 without a remainder.

1, 2, 13, 26, 43, 73, 86, 146, 559, 949, 1118, 1898, 3139, 6278, 40807

Step-4: Factors of 81627

List of positive integer factors of 81627 that divides 81614 without a remainder.

1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 169, 273, 299, 483, 507, 897, 1183, 2093, 3549, 3887, 6279, 11661, 27209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81614 and 81627. The biggest common factor number is the GCF number.
So the greatest common factor 81614 and 81627 is 13.

Also check out the Least Common Multiple of 81614 and 81627