What is the Greatest Common Factor of 4002 and 4007?
Greatest common factor (GCF) of 4002 and 4007 is 1.
GCF(4002,4007) = 1
We will now calculate the prime factors of 4002 and 4007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4002 and 4007.
How to find the GCF of 4002 and 4007?
We will first find the prime factorization of 4002 and 4007. After we will calculate the factors of 4002 and 4007 and find the biggest common factor number .
Step-1: Prime Factorization of 4002
Prime factors of 4002 are 2, 3, 23, 29. Prime factorization of 4002 in exponential form is:
4002 = 21 × 31 × 231 × 291
Step-2: Prime Factorization of 4007
Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:
4007 = 40071
Step-3: Factors of 4002
List of positive integer factors of 4002 that divides 4002 without a remainder.
1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001
Step-4: Factors of 4007
List of positive integer factors of 4007 that divides 4002 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4002 and 4007. The biggest common factor number is the GCF number.
So the greatest common factor 4002 and 4007 is 1.
Also check out the Least Common Multiple of 4002 and 4007
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Related Greatest Common Factors of 4007
- GCF of 4007 and 4011
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