What is the Greatest Common Factor of 30840 and 30854?

Greatest common factor (GCF) of 30840 and 30854 is 2.

GCF(30840,30854) = 2

We will now calculate the prime factors of 30840 and 30854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30840 and 30854.

How to find the GCF of 30840 and 30854?

We will first find the prime factorization of 30840 and 30854. After we will calculate the factors of 30840 and 30854 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 30854

Prime factors of 30854 are 2, 15427. Prime factorization of 30854 in exponential form is:

30854 = 2¹ × 15427¹

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 30854

List of positive integer factors of 30854 that divides 30840 without a remainder.

1, 2, 15427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30840 and 30854. The biggest common factor number is the GCF number.
So the greatest common factor 30840 and 30854 is 2.

Also check out the Least Common Multiple of 30840 and 30854