What is the Greatest Common Factor of 30838 and 30852?

Greatest common factor (GCF) of 30838 and 30852 is 2.

GCF(30838,30852) = 2

We will now calculate the prime factors of 30838 and 30852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30838 and 30852.

How to find the GCF of 30838 and 30852?

We will first find the prime factorization of 30838 and 30852. After we will calculate the factors of 30838 and 30852 and find the biggest common factor number .

Step-1: Prime Factorization of 30838

Prime factors of 30838 are 2, 17, 907. Prime factorization of 30838 in exponential form is:

30838 = 2¹ × 17¹ × 907¹

Step-2: Prime Factorization of 30852

Prime factors of 30852 are 2, 3, 857. Prime factorization of 30852 in exponential form is:

30852 = 2² × 3² × 857¹

Step-3: Factors of 30838

List of positive integer factors of 30838 that divides 30838 without a remainder.

1, 2, 17, 34, 907, 1814, 15419

Step-4: Factors of 30852

List of positive integer factors of 30852 that divides 30838 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 857, 1714, 2571, 3428, 5142, 7713, 10284, 15426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30838 and 30852. The biggest common factor number is the GCF number.
So the greatest common factor 30838 and 30852 is 2.

Also check out the Least Common Multiple of 30838 and 30852