What is the Greatest Common Factor of 16876 and 16880?
Greatest common factor (GCF) of 16876 and 16880 is 4.
GCF(16876,16880) = 4
We will now calculate the prime factors of 16876 and 16880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16876 and 16880.
How to find the GCF of 16876 and 16880?
We will first find the prime factorization of 16876 and 16880. After we will calculate the factors of 16876 and 16880 and find the biggest common factor number .
Step-1: Prime Factorization of 16876
Prime factors of 16876 are 2, 4219. Prime factorization of 16876 in exponential form is:
16876 = 22 × 42191
Step-2: Prime Factorization of 16880
Prime factors of 16880 are 2, 5, 211. Prime factorization of 16880 in exponential form is:
16880 = 24 × 51 × 2111
Step-3: Factors of 16876
List of positive integer factors of 16876 that divides 16876 without a remainder.
1, 2, 4, 4219, 8438
Step-4: Factors of 16880
List of positive integer factors of 16880 that divides 16876 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 211, 422, 844, 1055, 1688, 2110, 3376, 4220, 8440
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16876 and 16880. The biggest common factor number is the GCF number.
So the greatest common factor 16876 and 16880 is 4.
Also check out the Least Common Multiple of 16876 and 16880
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