What is the Greatest Common Factor of 16418 and 16422?
Greatest common factor (GCF) of 16418 and 16422 is 2.
GCF(16418,16422) = 2
We will now calculate the prime factors of 16418 and 16422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16418 and 16422.
How to find the GCF of 16418 and 16422?
We will first find the prime factorization of 16418 and 16422. After we will calculate the factors of 16418 and 16422 and find the biggest common factor number .
Step-1: Prime Factorization of 16418
Prime factors of 16418 are 2, 8209. Prime factorization of 16418 in exponential form is:
16418 = 21 × 82091
Step-2: Prime Factorization of 16422
Prime factors of 16422 are 2, 3, 7, 17, 23. Prime factorization of 16422 in exponential form is:
16422 = 21 × 31 × 71 × 171 × 231
Step-3: Factors of 16418
List of positive integer factors of 16418 that divides 16418 without a remainder.
1, 2, 8209
Step-4: Factors of 16422
List of positive integer factors of 16422 that divides 16418 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16418 and 16422. The biggest common factor number is the GCF number.
So the greatest common factor 16418 and 16422 is 2.
Also check out the Least Common Multiple of 16418 and 16422
Related Greatest Common Factors of 16418
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Related Greatest Common Factors of 16422
- GCF of 16422 and 16426
- GCF of 16422 and 16427
- GCF of 16422 and 16428
- GCF of 16422 and 16429
- GCF of 16422 and 16430
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- GCF of 16422 and 16432
- GCF of 16422 and 16433
- GCF of 16422 and 16434
- GCF of 16422 and 16435
- GCF of 16422 and 16436
- GCF of 16422 and 16437
- GCF of 16422 and 16438
- GCF of 16422 and 16439
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