What is the Greatest Common Factor of 71340 and 71360?

Greatest common factor (GCF) of 71340 and 71360 is 20.

GCF(71340,71360) = 20

We will now calculate the prime factors of 71340 and 71360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71340 and 71360.

How to find the GCF of 71340 and 71360?

We will first find the prime factorization of 71340 and 71360. After we will calculate the factors of 71340 and 71360 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 71360

Prime factors of 71360 are 2, 5, 223. Prime factorization of 71360 in exponential form is:

71360 = 2⁶ × 5¹ × 223¹

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 71360

List of positive integer factors of 71360 that divides 71340 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 223, 320, 446, 892, 1115, 1784, 2230, 3568, 4460, 7136, 8920, 14272, 17840, 35680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71340 and 71360. The biggest common factor number is the GCF number.
So the greatest common factor 71340 and 71360 is 20.

Also check out the Least Common Multiple of 71340 and 71360