What is the Greatest Common Factor of 40002 and 40006?
Greatest common factor (GCF) of 40002 and 40006 is 2.
GCF(40002,40006) = 2
We will now calculate the prime factors of 40002 and 40006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40002 and 40006.
How to find the GCF of 40002 and 40006?
We will first find the prime factorization of 40002 and 40006. After we will calculate the factors of 40002 and 40006 and find the biggest common factor number .
Step-1: Prime Factorization of 40002
Prime factors of 40002 are 2, 3, 59, 113. Prime factorization of 40002 in exponential form is:
40002 = 21 × 31 × 591 × 1131
Step-2: Prime Factorization of 40006
Prime factors of 40006 are 2, 83, 241. Prime factorization of 40006 in exponential form is:
40006 = 21 × 831 × 2411
Step-3: Factors of 40002
List of positive integer factors of 40002 that divides 40002 without a remainder.
1, 2, 3, 6, 59, 113, 118, 177, 226, 339, 354, 678, 6667, 13334, 20001
Step-4: Factors of 40006
List of positive integer factors of 40006 that divides 40002 without a remainder.
1, 2, 83, 166, 241, 482, 20003
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40002 and 40006. The biggest common factor number is the GCF number.
So the greatest common factor 40002 and 40006 is 2.
Also check out the Least Common Multiple of 40002 and 40006
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