What is the Greatest Common Factor of 12021 and 12035?
Greatest common factor (GCF) of 12021 and 12035 is 1.
GCF(12021,12035) = 1
We will now calculate the prime factors of 12021 and 12035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12021 and 12035.
How to find the GCF of 12021 and 12035?
We will first find the prime factorization of 12021 and 12035. After we will calculate the factors of 12021 and 12035 and find the biggest common factor number .
Step-1: Prime Factorization of 12021
Prime factors of 12021 are 3, 4007. Prime factorization of 12021 in exponential form is:
12021 = 31 × 40071
Step-2: Prime Factorization of 12035
Prime factors of 12035 are 5, 29, 83. Prime factorization of 12035 in exponential form is:
12035 = 51 × 291 × 831
Step-3: Factors of 12021
List of positive integer factors of 12021 that divides 12021 without a remainder.
1, 3, 4007
Step-4: Factors of 12035
List of positive integer factors of 12035 that divides 12021 without a remainder.
1, 5, 29, 83, 145, 415, 2407
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12021 and 12035. The biggest common factor number is the GCF number.
So the greatest common factor 12021 and 12035 is 1.
Also check out the Least Common Multiple of 12021 and 12035
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