What is the Greatest Common Factor of 12028 and 12039?
Greatest common factor (GCF) of 12028 and 12039 is 1.
GCF(12028,12039) = 1
We will now calculate the prime factors of 12028 and 12039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12028 and 12039.
How to find the GCF of 12028 and 12039?
We will first find the prime factorization of 12028 and 12039. After we will calculate the factors of 12028 and 12039 and find the biggest common factor number .
Step-1: Prime Factorization of 12028
Prime factors of 12028 are 2, 31, 97. Prime factorization of 12028 in exponential form is:
12028 = 22 × 311 × 971
Step-2: Prime Factorization of 12039
Prime factors of 12039 are 3, 4013. Prime factorization of 12039 in exponential form is:
12039 = 31 × 40131
Step-3: Factors of 12028
List of positive integer factors of 12028 that divides 12028 without a remainder.
1, 2, 4, 31, 62, 97, 124, 194, 388, 3007, 6014
Step-4: Factors of 12039
List of positive integer factors of 12039 that divides 12028 without a remainder.
1, 3, 4013
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12028 and 12039. The biggest common factor number is the GCF number.
So the greatest common factor 12028 and 12039 is 1.
Also check out the Least Common Multiple of 12028 and 12039
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