What is the Greatest Common Factor of 81326 and 81340?

Greatest common factor (GCF) of 81326 and 81340 is 14.

GCF(81326,81340) = 14

We will now calculate the prime factors of 81326 and 81340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81326 and 81340.

How to find the GCF of 81326 and 81340?

We will first find the prime factorization of 81326 and 81340. After we will calculate the factors of 81326 and 81340 and find the biggest common factor number .

Step-1: Prime Factorization of 81326

Prime factors of 81326 are 2, 7, 37, 157. Prime factorization of 81326 in exponential form is:

81326 = 2¹ × 7¹ × 37¹ × 157¹

Step-2: Prime Factorization of 81340

Prime factors of 81340 are 2, 5, 7, 83. Prime factorization of 81340 in exponential form is:

81340 = 2² × 5¹ × 7² × 83¹

Step-3: Factors of 81326

List of positive integer factors of 81326 that divides 81326 without a remainder.

1, 2, 7, 14, 37, 74, 157, 259, 314, 518, 1099, 2198, 5809, 11618, 40663

Step-4: Factors of 81340

List of positive integer factors of 81340 that divides 81326 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 83, 98, 140, 166, 196, 245, 332, 415, 490, 581, 830, 980, 1162, 1660, 2324, 2905, 4067, 5810, 8134, 11620, 16268, 20335, 40670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81326 and 81340. The biggest common factor number is the GCF number.
So the greatest common factor 81326 and 81340 is 14.

Also check out the Least Common Multiple of 81326 and 81340