What is the Greatest Common Factor of 74355 and 74365?
Greatest common factor (GCF) of 74355 and 74365 is 5.
GCF(74355,74365) = 5
We will now calculate the prime factors of 74355 and 74365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74355 and 74365.
How to find the GCF of 74355 and 74365?
We will first find the prime factorization of 74355 and 74365. After we will calculate the factors of 74355 and 74365 and find the biggest common factor number .
Step-1: Prime Factorization of 74355
Prime factors of 74355 are 3, 5, 4957. Prime factorization of 74355 in exponential form is:
74355 = 31 × 51 × 49571
Step-2: Prime Factorization of 74365
Prime factors of 74365 are 5, 107, 139. Prime factorization of 74365 in exponential form is:
74365 = 51 × 1071 × 1391
Step-3: Factors of 74355
List of positive integer factors of 74355 that divides 74355 without a remainder.
1, 3, 5, 15, 4957, 14871, 24785
Step-4: Factors of 74365
List of positive integer factors of 74365 that divides 74355 without a remainder.
1, 5, 107, 139, 535, 695, 14873
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74355 and 74365. The biggest common factor number is the GCF number.
So the greatest common factor 74355 and 74365 is 5.
Also check out the Least Common Multiple of 74355 and 74365
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