What is the Greatest Common Factor of 71340 and 71358?

Greatest common factor (GCF) of 71340 and 71358 is 6.

GCF(71340,71358) = 6

We will now calculate the prime factors of 71340 and 71358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71340 and 71358.

How to find the GCF of 71340 and 71358?

We will first find the prime factorization of 71340 and 71358. After we will calculate the factors of 71340 and 71358 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71358

Prime factors of 71358 are 2, 3, 7, 1699. Prime factorization of 71358 in exponential form is:

71358 = 2¹ × 3¹ × 7¹ × 1699¹

Step-3: Factors of 71340

List of positive integer factors of 71340 that divides 71340 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

Step-4: Factors of 71358

List of positive integer factors of 71358 that divides 71340 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1699, 3398, 5097, 10194, 11893, 23786, 35679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71340 and 71358. The biggest common factor number is the GCF number.
So the greatest common factor 71340 and 71358 is 6.

Also check out the Least Common Multiple of 71340 and 71358