What is the Greatest Common Factor of 30858 and 30874?

Greatest common factor (GCF) of 30858 and 30874 is 2.

GCF(30858,30874) = 2

We will now calculate the prime factors of 30858 and 30874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30858 and 30874.

How to find the GCF of 30858 and 30874?

We will first find the prime factorization of 30858 and 30874. After we will calculate the factors of 30858 and 30874 and find the biggest common factor number .

Step-1: Prime Factorization of 30858

Prime factors of 30858 are 2, 3, 37, 139. Prime factorization of 30858 in exponential form is:

30858 = 2¹ × 3¹ × 37¹ × 139¹

Step-2: Prime Factorization of 30874

Prime factors of 30874 are 2, 43, 359. Prime factorization of 30874 in exponential form is:

30874 = 2¹ × 43¹ × 359¹

Step-3: Factors of 30858

List of positive integer factors of 30858 that divides 30858 without a remainder.

1, 2, 3, 6, 37, 74, 111, 139, 222, 278, 417, 834, 5143, 10286, 15429

Step-4: Factors of 30874

List of positive integer factors of 30874 that divides 30858 without a remainder.

1, 2, 43, 86, 359, 718, 15437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30858 and 30874. The biggest common factor number is the GCF number.
So the greatest common factor 30858 and 30874 is 2.

Also check out the Least Common Multiple of 30858 and 30874