What is the Greatest Common Factor of 58357 and 58365?
Greatest common factor (GCF) of 58357 and 58365 is 1.
GCF(58357,58365) = 1
We will now calculate the prime factors of 58357 and 58365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58357 and 58365.
How to find the GCF of 58357 and 58365?
We will first find the prime factorization of 58357 and 58365. After we will calculate the factors of 58357 and 58365 and find the biggest common factor number .
Step-1: Prime Factorization of 58357
Prime factors of 58357 are 13, 67. Prime factorization of 58357 in exponential form is:
58357 = 131 × 672
Step-2: Prime Factorization of 58365
Prime factors of 58365 are 3, 5, 1297. Prime factorization of 58365 in exponential form is:
58365 = 32 × 51 × 12971
Step-3: Factors of 58357
List of positive integer factors of 58357 that divides 58357 without a remainder.
1, 13, 67, 871, 4489
Step-4: Factors of 58365
List of positive integer factors of 58365 that divides 58357 without a remainder.
1, 3, 5, 9, 15, 45, 1297, 3891, 6485, 11673, 19455
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58357 and 58365. The biggest common factor number is the GCF number.
So the greatest common factor 58357 and 58365 is 1.
Also check out the Least Common Multiple of 58357 and 58365
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