What is the Greatest Common Factor of 16502 and 16506?
Greatest common factor (GCF) of 16502 and 16506 is 2.
GCF(16502,16506) = 2
We will now calculate the prime factors of 16502 and 16506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16502 and 16506.
How to find the GCF of 16502 and 16506?
We will first find the prime factorization of 16502 and 16506. After we will calculate the factors of 16502 and 16506 and find the biggest common factor number .
Step-1: Prime Factorization of 16502
Prime factors of 16502 are 2, 37, 223. Prime factorization of 16502 in exponential form is:
16502 = 21 × 371 × 2231
Step-2: Prime Factorization of 16506
Prime factors of 16506 are 2, 3, 7, 131. Prime factorization of 16506 in exponential form is:
16506 = 21 × 32 × 71 × 1311
Step-3: Factors of 16502
List of positive integer factors of 16502 that divides 16502 without a remainder.
1, 2, 37, 74, 223, 446, 8251
Step-4: Factors of 16506
List of positive integer factors of 16506 that divides 16502 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 131, 262, 393, 786, 917, 1179, 1834, 2358, 2751, 5502, 8253
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16502 and 16506. The biggest common factor number is the GCF number.
So the greatest common factor 16502 and 16506 is 2.
Also check out the Least Common Multiple of 16502 and 16506
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Related Greatest Common Factors of 16506
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