What is the Greatest Common Factor of 4007 and 4023?
Greatest common factor (GCF) of 4007 and 4023 is 1.
GCF(4007,4023) = 1
We will now calculate the prime factors of 4007 and 4023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4007 and 4023.
How to find the GCF of 4007 and 4023?
We will first find the prime factorization of 4007 and 4023. After we will calculate the factors of 4007 and 4023 and find the biggest common factor number .
Step-1: Prime Factorization of 4007
Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:
4007 = 40071
Step-2: Prime Factorization of 4023
Prime factors of 4023 are 3, 149. Prime factorization of 4023 in exponential form is:
4023 = 33 × 1491
Step-3: Factors of 4007
List of positive integer factors of 4007 that divides 4007 without a remainder.
1
Step-4: Factors of 4023
List of positive integer factors of 4023 that divides 4007 without a remainder.
1, 3, 9, 27, 149, 447, 1341
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4007 and 4023. The biggest common factor number is the GCF number.
So the greatest common factor 4007 and 4023 is 1.
Also check out the Least Common Multiple of 4007 and 4023
Related Greatest Common Factors of 4007
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- GCF of 4007 and 4023
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Related Greatest Common Factors of 4023
- GCF of 4023 and 4027
- GCF of 4023 and 4028
- GCF of 4023 and 4029
- GCF of 4023 and 4030
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