What is the Greatest Common Factor of 74035 and 74045?
Greatest common factor (GCF) of 74035 and 74045 is 5.
GCF(74035,74045) = 5
We will now calculate the prime factors of 74035 and 74045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74035 and 74045.
How to find the GCF of 74035 and 74045?
We will first find the prime factorization of 74035 and 74045. After we will calculate the factors of 74035 and 74045 and find the biggest common factor number .
Step-1: Prime Factorization of 74035
Prime factors of 74035 are 5, 13, 17, 67. Prime factorization of 74035 in exponential form is:
74035 = 51 × 131 × 171 × 671
Step-2: Prime Factorization of 74045
Prime factors of 74045 are 5, 59, 251. Prime factorization of 74045 in exponential form is:
74045 = 51 × 591 × 2511
Step-3: Factors of 74035
List of positive integer factors of 74035 that divides 74035 without a remainder.
1, 5, 13, 17, 65, 67, 85, 221, 335, 871, 1105, 1139, 4355, 5695, 14807
Step-4: Factors of 74045
List of positive integer factors of 74045 that divides 74035 without a remainder.
1, 5, 59, 251, 295, 1255, 14809
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74035 and 74045. The biggest common factor number is the GCF number.
So the greatest common factor 74035 and 74045 is 5.
Also check out the Least Common Multiple of 74035 and 74045
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