What is the Greatest Common Factor of 1834 and 1852?

Greatest common factor (GCF) of 1834 and 1852 is 2.

GCF(1834,1852) = 2

We will now calculate the prime factors of 1834 and 1852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1834 and 1852.

How to find the GCF of 1834 and 1852?

We will first find the prime factorization of 1834 and 1852. After we will calculate the factors of 1834 and 1852 and find the biggest common factor number .

Step-1: Prime Factorization of 1834

Prime factors of 1834 are 2, 7, 131. Prime factorization of 1834 in exponential form is:

1834 = 2¹ × 7¹ × 131¹

Step-2: Prime Factorization of 1852

Prime factors of 1852 are 2, 463. Prime factorization of 1852 in exponential form is:

1852 = 2² × 463¹

Step-3: Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1, 2, 7, 14, 131, 262, 917

Step-4: Factors of 1852

List of positive integer factors of 1852 that divides 1834 without a remainder.

1, 2, 4, 463, 926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1834 and 1852. The biggest common factor number is the GCF number.
So the greatest common factor 1834 and 1852 is 2.

Also check out the Least Common Multiple of 1834 and 1852