What is the Greatest Common Factor of 1804 and 1810?
Greatest common factor (GCF) of 1804 and 1810 is 2.
GCF(1804,1810) = 2
We will now calculate the prime factors of 1804 and 1810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1804 and 1810.
How to find the GCF of 1804 and 1810?
We will first find the prime factorization of 1804 and 1810. After we will calculate the factors of 1804 and 1810 and find the biggest common factor number .
Step-1: Prime Factorization of 1804
Prime factors of 1804 are 2, 11, 41. Prime factorization of 1804 in exponential form is:
1804 = 22 × 111 × 411
Step-2: Prime Factorization of 1810
Prime factors of 1810 are 2, 5, 181. Prime factorization of 1810 in exponential form is:
1810 = 21 × 51 × 1811
Step-3: Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902
Step-4: Factors of 1810
List of positive integer factors of 1810 that divides 1804 without a remainder.
1, 2, 5, 10, 181, 362, 905
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1804 and 1810. The biggest common factor number is the GCF number.
So the greatest common factor 1804 and 1810 is 2.
Also check out the Least Common Multiple of 1804 and 1810
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