What is the Greatest Common Factor of 81340 and 81350?

Greatest common factor (GCF) of 81340 and 81350 is 10.

GCF(81340,81350) = 10

We will now calculate the prime factors of 81340 and 81350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81340 and 81350.

How to find the GCF of 81340 and 81350?

We will first find the prime factorization of 81340 and 81350. After we will calculate the factors of 81340 and 81350 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 81350

Prime factors of 81350 are 2, 5, 1627. Prime factorization of 81350 in exponential form is:

81350 = 2¹ × 5² × 1627¹

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 81350

List of positive integer factors of 81350 that divides 81340 without a remainder.

1, 2, 5, 10, 25, 50, 1627, 3254, 8135, 16270, 40675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81340 and 81350. The biggest common factor number is the GCF number.
So the greatest common factor 81340 and 81350 is 10.

Also check out the Least Common Multiple of 81340 and 81350