What is the Greatest Common Factor of 58383 and 58396?
Greatest common factor (GCF) of 58383 and 58396 is 13.
GCF(58383,58396) = 13
We will now calculate the prime factors of 58383 and 58396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58383 and 58396.
How to find the GCF of 58383 and 58396?
We will first find the prime factorization of 58383 and 58396. After we will calculate the factors of 58383 and 58396 and find the biggest common factor number .
Step-1: Prime Factorization of 58383
Prime factors of 58383 are 3, 13, 499. Prime factorization of 58383 in exponential form is:
58383 = 32 × 131 × 4991
Step-2: Prime Factorization of 58396
Prime factors of 58396 are 2, 13, 1123. Prime factorization of 58396 in exponential form is:
58396 = 22 × 131 × 11231
Step-3: Factors of 58383
List of positive integer factors of 58383 that divides 58383 without a remainder.
1, 3, 9, 13, 39, 117, 499, 1497, 4491, 6487, 19461
Step-4: Factors of 58396
List of positive integer factors of 58396 that divides 58383 without a remainder.
1, 2, 4, 13, 26, 52, 1123, 2246, 4492, 14599, 29198
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58383 and 58396. The biggest common factor number is the GCF number.
So the greatest common factor 58383 and 58396 is 13.
Also check out the Least Common Multiple of 58383 and 58396
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