What is the Greatest Common Factor of 55322 and 55342?
Greatest common factor (GCF) of 55322 and 55342 is 2.
GCF(55322,55342) = 2
We will now calculate the prime factors of 55322 and 55342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55322 and 55342.
How to find the GCF of 55322 and 55342?
We will first find the prime factorization of 55322 and 55342. After we will calculate the factors of 55322 and 55342 and find the biggest common factor number .
Step-1: Prime Factorization of 55322
Prime factors of 55322 are 2, 139, 199. Prime factorization of 55322 in exponential form is:
55322 = 21 × 1391 × 1991
Step-2: Prime Factorization of 55342
Prime factors of 55342 are 2, 7, 59, 67. Prime factorization of 55342 in exponential form is:
55342 = 21 × 71 × 591 × 671
Step-3: Factors of 55322
List of positive integer factors of 55322 that divides 55322 without a remainder.
1, 2, 139, 199, 278, 398, 27661
Step-4: Factors of 55342
List of positive integer factors of 55342 that divides 55322 without a remainder.
1, 2, 7, 14, 59, 67, 118, 134, 413, 469, 826, 938, 3953, 7906, 27671
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55322 and 55342. The biggest common factor number is the GCF number.
So the greatest common factor 55322 and 55342 is 2.
Also check out the Least Common Multiple of 55322 and 55342
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Related Greatest Common Factors of 55342
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- GCF of 55342 and 55347
- GCF of 55342 and 55348
- GCF of 55342 and 55349
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- GCF of 55342 and 55352
- GCF of 55342 and 55353
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- GCF of 55342 and 55356
- GCF of 55342 and 55357
- GCF of 55342 and 55358
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