What is the Greatest Common Factor of 12074 and 12082?
Greatest common factor (GCF) of 12074 and 12082 is 2.
GCF(12074,12082) = 2
We will now calculate the prime factors of 12074 and 12082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12074 and 12082.
How to find the GCF of 12074 and 12082?
We will first find the prime factorization of 12074 and 12082. After we will calculate the factors of 12074 and 12082 and find the biggest common factor number .
Step-1: Prime Factorization of 12074
Prime factors of 12074 are 2, 6037. Prime factorization of 12074 in exponential form is:
12074 = 21 × 60371
Step-2: Prime Factorization of 12082
Prime factors of 12082 are 2, 7, 863. Prime factorization of 12082 in exponential form is:
12082 = 21 × 71 × 8631
Step-3: Factors of 12074
List of positive integer factors of 12074 that divides 12074 without a remainder.
1, 2, 6037
Step-4: Factors of 12082
List of positive integer factors of 12082 that divides 12074 without a remainder.
1, 2, 7, 14, 863, 1726, 6041
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12074 and 12082. The biggest common factor number is the GCF number.
So the greatest common factor 12074 and 12082 is 2.
Also check out the Least Common Multiple of 12074 and 12082
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