What is the Greatest Common Factor of 30840 and 30849?

Greatest common factor (GCF) of 30840 and 30849 is 3.

GCF(30840,30849) = 3

We will now calculate the prime factors of 30840 and 30849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30840 and 30849.

How to find the GCF of 30840 and 30849?

We will first find the prime factorization of 30840 and 30849. After we will calculate the factors of 30840 and 30849 and find the biggest common factor number .

Step-1: Prime Factorization of 30840

Prime factors of 30840 are 2, 3, 5, 257. Prime factorization of 30840 in exponential form is:

30840 = 2³ × 3¹ × 5¹ × 257¹

Step-2: Prime Factorization of 30849

Prime factors of 30849 are 3, 7, 13, 113. Prime factorization of 30849 in exponential form is:

30849 = 3¹ × 7¹ × 13¹ × 113¹

Step-3: Factors of 30840

List of positive integer factors of 30840 that divides 30840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 257, 514, 771, 1028, 1285, 1542, 2056, 2570, 3084, 3855, 5140, 6168, 7710, 10280, 15420

Step-4: Factors of 30849

List of positive integer factors of 30849 that divides 30840 without a remainder.

1, 3, 7, 13, 21, 39, 91, 113, 273, 339, 791, 1469, 2373, 4407, 10283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30840 and 30849. The biggest common factor number is the GCF number.
So the greatest common factor 30840 and 30849 is 3.

Also check out the Least Common Multiple of 30840 and 30849