What is the Greatest Common Factor of 1840 and 1860?

Greatest common factor (GCF) of 1840 and 1860 is 20.

GCF(1840,1860) = 20

We will now calculate the prime factors of 1840 and 1860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1840 and 1860.

How to find the GCF of 1840 and 1860?

We will first find the prime factorization of 1840 and 1860. After we will calculate the factors of 1840 and 1860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1860

Prime factors of 1860 are 2, 3, 5, 31. Prime factorization of 1860 in exponential form is:

1860 = 2² × 3¹ × 5¹ × 31¹

Step-3: Factors of 1840

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

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

Step-4: Factors of 1860

List of positive integer factors of 1860 that divides 1840 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1840 and 1860. The biggest common factor number is the GCF number.
So the greatest common factor 1840 and 1860 is 20.

Also check out the Least Common Multiple of 1840 and 1860