What is the Greatest Common Factor of 1860 and 1880?

Greatest common factor (GCF) of 1860 and 1880 is 20.

GCF(1860,1880) = 20

We will now calculate the prime factors of 1860 and 1880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1860 and 1880.

How to find the GCF of 1860 and 1880?

We will first find the prime factorization of 1860 and 1880. After we will calculate the factors of 1860 and 1880 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1880

Prime factors of 1880 are 2, 5, 47. Prime factorization of 1880 in exponential form is:

1880 = 2³ × 5¹ × 47¹

Step-3: Factors of 1860

List of positive integer factors of 1860 that divides 1860 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

Step-4: Factors of 1880

List of positive integer factors of 1880 that divides 1860 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1860 and 1880. The biggest common factor number is the GCF number.
So the greatest common factor 1860 and 1880 is 20.

Also check out the Least Common Multiple of 1860 and 1880