What is the Greatest Common Factor of 81322 and 81340?

Greatest common factor (GCF) of 81322 and 81340 is 2.

GCF(81322,81340) = 2

We will now calculate the prime factors of 81322 and 81340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81322 and 81340.

How to find the GCF of 81322 and 81340?

We will first find the prime factorization of 81322 and 81340. After we will calculate the factors of 81322 and 81340 and find the biggest common factor number .

Step-1: Prime Factorization of 81322

Prime factors of 81322 are 2, 73, 557. Prime factorization of 81322 in exponential form is:

81322 = 2¹ × 73¹ × 557¹

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 81322

List of positive integer factors of 81322 that divides 81322 without a remainder.

1, 2, 73, 146, 557, 1114, 40661

Step-4: Factors of 81340

List of positive integer factors of 81340 that divides 81322 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 81322 and 81340. The biggest common factor number is the GCF number.
So the greatest common factor 81322 and 81340 is 2.

Also check out the Least Common Multiple of 81322 and 81340