What is the Greatest Common Factor of 71322 and 71340?

Greatest common factor (GCF) of 71322 and 71340 is 6.

GCF(71322,71340) = 6

We will now calculate the prime factors of 71322 and 71340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71322 and 71340.

How to find the GCF of 71322 and 71340?

We will first find the prime factorization of 71322 and 71340. After we will calculate the factors of 71322 and 71340 and find the biggest common factor number .

Step-1: Prime Factorization of 71322

Prime factors of 71322 are 2, 3, 11887. Prime factorization of 71322 in exponential form is:

71322 = 2¹ × 3¹ × 11887¹

Step-2: Prime Factorization of 71340

Prime factors of 71340 are 2, 3, 5, 29, 41. Prime factorization of 71340 in exponential form is:

71340 = 2² × 3¹ × 5¹ × 29¹ × 41¹

Step-3: Factors of 71322

List of positive integer factors of 71322 that divides 71322 without a remainder.

1, 2, 3, 6, 11887, 23774, 35661

Step-4: Factors of 71340

List of positive integer factors of 71340 that divides 71322 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 41, 58, 60, 82, 87, 116, 123, 145, 164, 174, 205, 246, 290, 348, 410, 435, 492, 580, 615, 820, 870, 1189, 1230, 1740, 2378, 2460, 3567, 4756, 5945, 7134, 11890, 14268, 17835, 23780, 35670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71322 and 71340. The biggest common factor number is the GCF number.
So the greatest common factor 71322 and 71340 is 6.

Also check out the Least Common Multiple of 71322 and 71340