What is the Greatest Common Factor of 52374 and 52393?
Greatest common factor (GCF) of 52374 and 52393 is 1.
GCF(52374,52393) = 1
We will now calculate the prime factors of 52374 and 52393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52374 and 52393.
How to find the GCF of 52374 and 52393?
We will first find the prime factorization of 52374 and 52393. After we will calculate the factors of 52374 and 52393 and find the biggest common factor number .
Step-1: Prime Factorization of 52374
Prime factors of 52374 are 2, 3, 7, 29, 43. Prime factorization of 52374 in exponential form is:
52374 = 21 × 31 × 71 × 291 × 431
Step-2: Prime Factorization of 52393
Prime factors of 52393 are 11, 433. Prime factorization of 52393 in exponential form is:
52393 = 112 × 4331
Step-3: Factors of 52374
List of positive integer factors of 52374 that divides 52374 without a remainder.
1, 2, 3, 6, 7, 14, 21, 29, 42, 43, 58, 86, 87, 129, 174, 203, 258, 301, 406, 602, 609, 903, 1218, 1247, 1806, 2494, 3741, 7482, 8729, 17458, 26187
Step-4: Factors of 52393
List of positive integer factors of 52393 that divides 52374 without a remainder.
1, 11, 121, 433, 4763
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52374 and 52393. The biggest common factor number is the GCF number.
So the greatest common factor 52374 and 52393 is 1.
Also check out the Least Common Multiple of 52374 and 52393
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