What is the Greatest Common Factor of 1830 and 1840?

Greatest common factor (GCF) of 1830 and 1840 is 10.

GCF(1830,1840) = 10

We will now calculate the prime factors of 1830 and 1840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1830 and 1840.

How to find the GCF of 1830 and 1840?

We will first find the prime factorization of 1830 and 1840. After we will calculate the factors of 1830 and 1840 and find the biggest common factor number .

Step-1: Prime Factorization of 1830

Prime factors of 1830 are 2, 3, 5, 61. Prime factorization of 1830 in exponential form is:

1830 = 2¹ × 3¹ × 5¹ × 61¹

Step-2: Prime Factorization of 1840

Prime factors of 1840 are 2, 5, 23. Prime factorization of 1840 in exponential form is:

1840 = 2⁴ × 5¹ × 23¹

Step-3: Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915

Step-4: Factors of 1840

List of positive integer factors of 1840 that divides 1830 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1830 and 1840. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1840 is 10.

Also check out the Least Common Multiple of 1830 and 1840