What is the Greatest Common Factor of 12370 and 12388?
Greatest common factor (GCF) of 12370 and 12388 is 2.
GCF(12370,12388) = 2
We will now calculate the prime factors of 12370 and 12388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12370 and 12388.
How to find the GCF of 12370 and 12388?
We will first find the prime factorization of 12370 and 12388. After we will calculate the factors of 12370 and 12388 and find the biggest common factor number .
Step-1: Prime Factorization of 12370
Prime factors of 12370 are 2, 5, 1237. Prime factorization of 12370 in exponential form is:
12370 = 21 × 51 × 12371
Step-2: Prime Factorization of 12388
Prime factors of 12388 are 2, 19, 163. Prime factorization of 12388 in exponential form is:
12388 = 22 × 191 × 1631
Step-3: Factors of 12370
List of positive integer factors of 12370 that divides 12370 without a remainder.
1, 2, 5, 10, 1237, 2474, 6185
Step-4: Factors of 12388
List of positive integer factors of 12388 that divides 12370 without a remainder.
1, 2, 4, 19, 38, 76, 163, 326, 652, 3097, 6194
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12370 and 12388. The biggest common factor number is the GCF number.
So the greatest common factor 12370 and 12388 is 2.
Also check out the Least Common Multiple of 12370 and 12388
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