What is the Greatest Common Factor of 40995 and 41004?
Greatest common factor (GCF) of 40995 and 41004 is 9.
GCF(40995,41004) = 9
We will now calculate the prime factors of 40995 and 41004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40995 and 41004.
How to find the GCF of 40995 and 41004?
We will first find the prime factorization of 40995 and 41004. After we will calculate the factors of 40995 and 41004 and find the biggest common factor number .
Step-1: Prime Factorization of 40995
Prime factors of 40995 are 3, 5, 911. Prime factorization of 40995 in exponential form is:
40995 = 32 × 51 × 9111
Step-2: Prime Factorization of 41004
Prime factors of 41004 are 2, 3, 17, 67. Prime factorization of 41004 in exponential form is:
41004 = 22 × 32 × 171 × 671
Step-3: Factors of 40995
List of positive integer factors of 40995 that divides 40995 without a remainder.
1, 3, 5, 9, 15, 45, 911, 2733, 4555, 8199, 13665
Step-4: Factors of 41004
List of positive integer factors of 41004 that divides 40995 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 67, 68, 102, 134, 153, 201, 204, 268, 306, 402, 603, 612, 804, 1139, 1206, 2278, 2412, 3417, 4556, 6834, 10251, 13668, 20502
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40995 and 41004. The biggest common factor number is the GCF number.
So the greatest common factor 40995 and 41004 is 9.
Also check out the Least Common Multiple of 40995 and 41004
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Related Greatest Common Factors of 41004
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