What is the Greatest Common Factor of 82374 and 82383?
Greatest common factor (GCF) of 82374 and 82383 is 3.
GCF(82374,82383) = 3
We will now calculate the prime factors of 82374 and 82383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82374 and 82383.
How to find the GCF of 82374 and 82383?
We will first find the prime factorization of 82374 and 82383. After we will calculate the factors of 82374 and 82383 and find the biggest common factor number .
Step-1: Prime Factorization of 82374
Prime factors of 82374 are 2, 3, 13729. Prime factorization of 82374 in exponential form is:
82374 = 21 × 31 × 137291
Step-2: Prime Factorization of 82383
Prime factors of 82383 are 3, 7, 3923. Prime factorization of 82383 in exponential form is:
82383 = 31 × 71 × 39231
Step-3: Factors of 82374
List of positive integer factors of 82374 that divides 82374 without a remainder.
1, 2, 3, 6, 13729, 27458, 41187
Step-4: Factors of 82383
List of positive integer factors of 82383 that divides 82374 without a remainder.
1, 3, 7, 21, 3923, 11769, 27461
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 82374 and 82383. The biggest common factor number is the GCF number.
So the greatest common factor 82374 and 82383 is 3.
Also check out the Least Common Multiple of 82374 and 82383
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