What is the Greatest Common Factor of 16758 and 16773?
Greatest common factor (GCF) of 16758 and 16773 is 3.
GCF(16758,16773) = 3
We will now calculate the prime factors of 16758 and 16773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16758 and 16773.
How to find the GCF of 16758 and 16773?
We will first find the prime factorization of 16758 and 16773. After we will calculate the factors of 16758 and 16773 and find the biggest common factor number .
Step-1: Prime Factorization of 16758
Prime factors of 16758 are 2, 3, 7, 19. Prime factorization of 16758 in exponential form is:
16758 = 21 × 32 × 72 × 191
Step-2: Prime Factorization of 16773
Prime factors of 16773 are 3, 5591. Prime factorization of 16773 in exponential form is:
16773 = 31 × 55911
Step-3: Factors of 16758
List of positive integer factors of 16758 that divides 16758 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 49, 57, 63, 98, 114, 126, 133, 147, 171, 266, 294, 342, 399, 441, 798, 882, 931, 1197, 1862, 2394, 2793, 5586, 8379
Step-4: Factors of 16773
List of positive integer factors of 16773 that divides 16758 without a remainder.
1, 3, 5591
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16758 and 16773. The biggest common factor number is the GCF number.
So the greatest common factor 16758 and 16773 is 3.
Also check out the Least Common Multiple of 16758 and 16773
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