What is the Greatest Common Factor of 12028 and 12047?
Greatest common factor (GCF) of 12028 and 12047 is 1.
GCF(12028,12047) = 1
We will now calculate the prime factors of 12028 and 12047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12028 and 12047.
How to find the GCF of 12028 and 12047?
We will first find the prime factorization of 12028 and 12047. After we will calculate the factors of 12028 and 12047 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 12047
Prime factors of 12047 are 7, 1721. Prime factorization of 12047 in exponential form is:
12047 = 71 × 17211
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 12047
List of positive integer factors of 12047 that divides 12028 without a remainder.
1, 7, 1721
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12028 and 12047. The biggest common factor number is the GCF number.
So the greatest common factor 12028 and 12047 is 1.
Also check out the Least Common Multiple of 12028 and 12047
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