What is the Greatest Common Factor of 81340 and 81356?

Greatest common factor (GCF) of 81340 and 81356 is 4.

GCF(81340,81356) = 4

We will now calculate the prime factors of 81340 and 81356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81340 and 81356.

How to find the GCF of 81340 and 81356?

We will first find the prime factorization of 81340 and 81356. After we will calculate the factors of 81340 and 81356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81356

Prime factors of 81356 are 2, 11, 43. Prime factorization of 81356 in exponential form is:

81356 = 2² × 11¹ × 43²

Step-3: Factors of 81340

List of positive integer factors of 81340 that divides 81340 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

Step-4: Factors of 81356

List of positive integer factors of 81356 that divides 81340 without a remainder.

1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1849, 1892, 3698, 7396, 20339, 40678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81340 and 81356. The biggest common factor number is the GCF number.
So the greatest common factor 81340 and 81356 is 4.

Also check out the Least Common Multiple of 81340 and 81356