What is the Greatest Common Factor of 71340 and 71355?

Greatest common factor (GCF) of 71340 and 71355 is 15.

GCF(71340,71355) = 15

We will now calculate the prime factors of 71340 and 71355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71340 and 71355.

How to find the GCF of 71340 and 71355?

We will first find the prime factorization of 71340 and 71355. After we will calculate the factors of 71340 and 71355 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 71355

Prime factors of 71355 are 3, 5, 67, 71. Prime factorization of 71355 in exponential form is:

71355 = 3¹ × 5¹ × 67¹ × 71¹

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 71355

List of positive integer factors of 71355 that divides 71340 without a remainder.

1, 3, 5, 15, 67, 71, 201, 213, 335, 355, 1005, 1065, 4757, 14271, 23785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71340 and 71355. The biggest common factor number is the GCF number.
So the greatest common factor 71340 and 71355 is 15.

Also check out the Least Common Multiple of 71340 and 71355