What is the Greatest Common Factor of 12040 and 12058?
Greatest common factor (GCF) of 12040 and 12058 is 2.
GCF(12040,12058) = 2
We will now calculate the prime factors of 12040 and 12058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12040 and 12058.
How to find the GCF of 12040 and 12058?
We will first find the prime factorization of 12040 and 12058. After we will calculate the factors of 12040 and 12058 and find the biggest common factor number .
Step-1: Prime Factorization of 12040
Prime factors of 12040 are 2, 5, 7, 43. Prime factorization of 12040 in exponential form is:
12040 = 23 × 51 × 71 × 431
Step-2: Prime Factorization of 12058
Prime factors of 12058 are 2, 6029. Prime factorization of 12058 in exponential form is:
12058 = 21 × 60291
Step-3: Factors of 12040
List of positive integer factors of 12040 that divides 12040 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 43, 56, 70, 86, 140, 172, 215, 280, 301, 344, 430, 602, 860, 1204, 1505, 1720, 2408, 3010, 6020
Step-4: Factors of 12058
List of positive integer factors of 12058 that divides 12040 without a remainder.
1, 2, 6029
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12040 and 12058. The biggest common factor number is the GCF number.
So the greatest common factor 12040 and 12058 is 2.
Also check out the Least Common Multiple of 12040 and 12058
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