What is the Greatest Common Factor of 71340 and 71349?

Greatest common factor (GCF) of 71340 and 71349 is 3.

GCF(71340,71349) = 3

We will now calculate the prime factors of 71340 and 71349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71340 and 71349.

How to find the GCF of 71340 and 71349?

We will first find the prime factorization of 71340 and 71349. After we will calculate the factors of 71340 and 71349 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 71349

Prime factors of 71349 are 3, 17, 1399. Prime factorization of 71349 in exponential form is:

71349 = 3¹ × 17¹ × 1399¹

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 71349

List of positive integer factors of 71349 that divides 71340 without a remainder.

1, 3, 17, 51, 1399, 4197, 23783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71340 and 71349. The biggest common factor number is the GCF number.
So the greatest common factor 71340 and 71349 is 3.

Also check out the Least Common Multiple of 71340 and 71349