What is the Greatest Common Factor of 12037 and 12042?
Greatest common factor (GCF) of 12037 and 12042 is 1.
GCF(12037,12042) = 1
We will now calculate the prime factors of 12037 and 12042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12037 and 12042.
How to find the GCF of 12037 and 12042?
We will first find the prime factorization of 12037 and 12042. After we will calculate the factors of 12037 and 12042 and find the biggest common factor number .
Step-1: Prime Factorization of 12037
Prime factors of 12037 are 12037. Prime factorization of 12037 in exponential form is:
12037 = 120371
Step-2: Prime Factorization of 12042
Prime factors of 12042 are 2, 3, 223. Prime factorization of 12042 in exponential form is:
12042 = 21 × 33 × 2231
Step-3: Factors of 12037
List of positive integer factors of 12037 that divides 12037 without a remainder.
1
Step-4: Factors of 12042
List of positive integer factors of 12042 that divides 12037 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 223, 446, 669, 1338, 2007, 4014, 6021
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12037 and 12042. The biggest common factor number is the GCF number.
So the greatest common factor 12037 and 12042 is 1.
Also check out the Least Common Multiple of 12037 and 12042
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