What is the Greatest Common Factor of 1829 and 1840?

Greatest common factor (GCF) of 1829 and 1840 is 1.

GCF(1829,1840) = 1

We will now calculate the prime factors of 1829 and 1840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1829 and 1840.

How to find the GCF of 1829 and 1840?

We will first find the prime factorization of 1829 and 1840. After we will calculate the factors of 1829 and 1840 and find the biggest common factor number .

Step-1: Prime Factorization of 1829

Prime factors of 1829 are 31, 59. Prime factorization of 1829 in exponential form is:

1829 = 31¹ × 59¹

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 1829

List of positive integer factors of 1829 that divides 1829 without a remainder.

1, 31, 59

Step-4: Factors of 1840

List of positive integer factors of 1840 that divides 1829 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 1829 and 1840. The biggest common factor number is the GCF number.
So the greatest common factor 1829 and 1840 is 1.

Also check out the Least Common Multiple of 1829 and 1840