What is the Greatest Common Factor of 16489 and 16506?
Greatest common factor (GCF) of 16489 and 16506 is 1.
GCF(16489,16506) = 1
We will now calculate the prime factors of 16489 and 16506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16489 and 16506.
How to find the GCF of 16489 and 16506?
We will first find the prime factorization of 16489 and 16506. After we will calculate the factors of 16489 and 16506 and find the biggest common factor number .
Step-1: Prime Factorization of 16489
Prime factors of 16489 are 11, 1499. Prime factorization of 16489 in exponential form is:
16489 = 111 × 14991
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 16489
List of positive integer factors of 16489 that divides 16489 without a remainder.
1, 11, 1499
Step-4: Factors of 16506
List of positive integer factors of 16506 that divides 16489 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 16489 and 16506. The biggest common factor number is the GCF number.
So the greatest common factor 16489 and 16506 is 1.
Also check out the Least Common Multiple of 16489 and 16506
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Related Greatest Common Factors of 16506
- GCF of 16506 and 16510
- GCF of 16506 and 16511
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- GCF of 16506 and 16516
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- GCF of 16506 and 16521
- GCF of 16506 and 16522
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