What is the Greatest Common Factor of 66645 and 66665?
Greatest common factor (GCF) of 66645 and 66665 is 5.
GCF(66645,66665) = 5
We will now calculate the prime factors of 66645 and 66665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66645 and 66665.
How to find the GCF of 66645 and 66665?
We will first find the prime factorization of 66645 and 66665. After we will calculate the factors of 66645 and 66665 and find the biggest common factor number .
Step-1: Prime Factorization of 66645
Prime factors of 66645 are 3, 5, 1481. Prime factorization of 66645 in exponential form is:
66645 = 32 × 51 × 14811
Step-2: Prime Factorization of 66665
Prime factors of 66665 are 5, 67, 199. Prime factorization of 66665 in exponential form is:
66665 = 51 × 671 × 1991
Step-3: Factors of 66645
List of positive integer factors of 66645 that divides 66645 without a remainder.
1, 3, 5, 9, 15, 45, 1481, 4443, 7405, 13329, 22215
Step-4: Factors of 66665
List of positive integer factors of 66665 that divides 66645 without a remainder.
1, 5, 67, 199, 335, 995, 13333
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66645 and 66665. The biggest common factor number is the GCF number.
So the greatest common factor 66645 and 66665 is 5.
Also check out the Least Common Multiple of 66645 and 66665
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