What is the Greatest Common Factor of 32364 and 32383?
Greatest common factor (GCF) of 32364 and 32383 is 1.
GCF(32364,32383) = 1
We will now calculate the prime factors of 32364 and 32383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32364 and 32383.
How to find the GCF of 32364 and 32383?
We will first find the prime factorization of 32364 and 32383. After we will calculate the factors of 32364 and 32383 and find the biggest common factor number .
Step-1: Prime Factorization of 32364
Prime factors of 32364 are 2, 3, 29, 31. Prime factorization of 32364 in exponential form is:
32364 = 22 × 32 × 291 × 311
Step-2: Prime Factorization of 32383
Prime factors of 32383 are 13, 47, 53. Prime factorization of 32383 in exponential form is:
32383 = 131 × 471 × 531
Step-3: Factors of 32364
List of positive integer factors of 32364 that divides 32364 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 29, 31, 36, 58, 62, 87, 93, 116, 124, 174, 186, 261, 279, 348, 372, 522, 558, 899, 1044, 1116, 1798, 2697, 3596, 5394, 8091, 10788, 16182
Step-4: Factors of 32383
List of positive integer factors of 32383 that divides 32364 without a remainder.
1, 13, 47, 53, 611, 689, 2491
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32364 and 32383. The biggest common factor number is the GCF number.
So the greatest common factor 32364 and 32383 is 1.
Also check out the Least Common Multiple of 32364 and 32383
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