What is the Greatest Common Factor of 12120 and 12126?
Greatest common factor (GCF) of 12120 and 12126 is 6.
GCF(12120,12126) = 6
We will now calculate the prime factors of 12120 and 12126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12120 and 12126.
How to find the GCF of 12120 and 12126?
We will first find the prime factorization of 12120 and 12126. After we will calculate the factors of 12120 and 12126 and find the biggest common factor number .
Step-1: Prime Factorization of 12120
Prime factors of 12120 are 2, 3, 5, 101. Prime factorization of 12120 in exponential form is:
12120 = 23 × 31 × 51 × 1011
Step-2: Prime Factorization of 12126
Prime factors of 12126 are 2, 3, 43, 47. Prime factorization of 12126 in exponential form is:
12126 = 21 × 31 × 431 × 471
Step-3: Factors of 12120
List of positive integer factors of 12120 that divides 12120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 101, 120, 202, 303, 404, 505, 606, 808, 1010, 1212, 1515, 2020, 2424, 3030, 4040, 6060
Step-4: Factors of 12126
List of positive integer factors of 12126 that divides 12120 without a remainder.
1, 2, 3, 6, 43, 47, 86, 94, 129, 141, 258, 282, 2021, 4042, 6063
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12120 and 12126. The biggest common factor number is the GCF number.
So the greatest common factor 12120 and 12126 is 6.
Also check out the Least Common Multiple of 12120 and 12126
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