What is the Greatest Common Factor of 4007 and 4012?
Greatest common factor (GCF) of 4007 and 4012 is 1.
GCF(4007,4012) = 1
We will now calculate the prime factors of 4007 and 4012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4007 and 4012.
How to find the GCF of 4007 and 4012?
We will first find the prime factorization of 4007 and 4012. After we will calculate the factors of 4007 and 4012 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 4012
Prime factors of 4012 are 2, 17, 59. Prime factorization of 4012 in exponential form is:
4012 = 22 × 171 × 591
Step-3: Factors of 4007
List of positive integer factors of 4007 that divides 4007 without a remainder.
1
Step-4: Factors of 4012
List of positive integer factors of 4012 that divides 4007 without a remainder.
1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4007 and 4012. The biggest common factor number is the GCF number.
So the greatest common factor 4007 and 4012 is 1.
Also check out the Least Common Multiple of 4007 and 4012
Related Greatest Common Factors of 4007
- GCF of 4007 and 4011
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Related Greatest Common Factors of 4012
- GCF of 4012 and 4016
- GCF of 4012 and 4017
- GCF of 4012 and 4018
- GCF of 4012 and 4019
- GCF of 4012 and 4020
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- GCF of 4012 and 4022
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- GCF of 4012 and 4027
- GCF of 4012 and 4028
- GCF of 4012 and 4029
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