What is the Greatest Common Factor of 16950 and 16964?
Greatest common factor (GCF) of 16950 and 16964 is 2.
GCF(16950,16964) = 2
We will now calculate the prime factors of 16950 and 16964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16950 and 16964.
How to find the GCF of 16950 and 16964?
We will first find the prime factorization of 16950 and 16964. After we will calculate the factors of 16950 and 16964 and find the biggest common factor number .
Step-1: Prime Factorization of 16950
Prime factors of 16950 are 2, 3, 5, 113. Prime factorization of 16950 in exponential form is:
16950 = 21 × 31 × 52 × 1131
Step-2: Prime Factorization of 16964
Prime factors of 16964 are 2, 4241. Prime factorization of 16964 in exponential form is:
16964 = 22 × 42411
Step-3: Factors of 16950
List of positive integer factors of 16950 that divides 16950 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 113, 150, 226, 339, 565, 678, 1130, 1695, 2825, 3390, 5650, 8475
Step-4: Factors of 16964
List of positive integer factors of 16964 that divides 16950 without a remainder.
1, 2, 4, 4241, 8482
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16950 and 16964. The biggest common factor number is the GCF number.
So the greatest common factor 16950 and 16964 is 2.
Also check out the Least Common Multiple of 16950 and 16964
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