What is the Greatest Common Factor of 18854 and 18872?
Greatest common factor (GCF) of 18854 and 18872 is 2.
GCF(18854,18872) = 2
We will now calculate the prime factors of 18854 and 18872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18854 and 18872.
How to find the GCF of 18854 and 18872?
We will first find the prime factorization of 18854 and 18872. After we will calculate the factors of 18854 and 18872 and find the biggest common factor number .
Step-1: Prime Factorization of 18854
Prime factors of 18854 are 2, 11, 857. Prime factorization of 18854 in exponential form is:
18854 = 21 × 111 × 8571
Step-2: Prime Factorization of 18872
Prime factors of 18872 are 2, 7, 337. Prime factorization of 18872 in exponential form is:
18872 = 23 × 71 × 3371
Step-3: Factors of 18854
List of positive integer factors of 18854 that divides 18854 without a remainder.
1, 2, 11, 22, 857, 1714, 9427
Step-4: Factors of 18872
List of positive integer factors of 18872 that divides 18854 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 337, 674, 1348, 2359, 2696, 4718, 9436
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18854 and 18872. The biggest common factor number is the GCF number.
So the greatest common factor 18854 and 18872 is 2.
Also check out the Least Common Multiple of 18854 and 18872
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