What is the Greatest Common Factor of 42274 and 42284?
Greatest common factor (GCF) of 42274 and 42284 is 2.
GCF(42274,42284) = 2
We will now calculate the prime factors of 42274 and 42284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42274 and 42284.
How to find the GCF of 42274 and 42284?
We will first find the prime factorization of 42274 and 42284. After we will calculate the factors of 42274 and 42284 and find the biggest common factor number .
Step-1: Prime Factorization of 42274
Prime factors of 42274 are 2, 23, 919. Prime factorization of 42274 in exponential form is:
42274 = 21 × 231 × 9191
Step-2: Prime Factorization of 42284
Prime factors of 42284 are 2, 11, 31. Prime factorization of 42284 in exponential form is:
42284 = 22 × 111 × 312
Step-3: Factors of 42274
List of positive integer factors of 42274 that divides 42274 without a remainder.
1, 2, 23, 46, 919, 1838, 21137
Step-4: Factors of 42284
List of positive integer factors of 42284 that divides 42274 without a remainder.
1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 961, 1364, 1922, 3844, 10571, 21142
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42274 and 42284. The biggest common factor number is the GCF number.
So the greatest common factor 42274 and 42284 is 2.
Also check out the Least Common Multiple of 42274 and 42284
Related Greatest Common Factors of 42274
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- GCF of 42274 and 42284
- GCF of 42274 and 42285
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Related Greatest Common Factors of 42284
- GCF of 42284 and 42288
- GCF of 42284 and 42289
- GCF of 42284 and 42290
- GCF of 42284 and 42291
- GCF of 42284 and 42292
- GCF of 42284 and 42293
- GCF of 42284 and 42294
- GCF of 42284 and 42295
- GCF of 42284 and 42296
- GCF of 42284 and 42297
- GCF of 42284 and 42298
- GCF of 42284 and 42299
- GCF of 42284 and 42300
- GCF of 42284 and 42301
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