What is the Greatest Common Factor of 12353 and 12372?
Greatest common factor (GCF) of 12353 and 12372 is 1.
GCF(12353,12372) = 1
We will now calculate the prime factors of 12353 and 12372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12353 and 12372.
How to find the GCF of 12353 and 12372?
We will first find the prime factorization of 12353 and 12372. After we will calculate the factors of 12353 and 12372 and find the biggest common factor number .
Step-1: Prime Factorization of 12353
Prime factors of 12353 are 11, 1123. Prime factorization of 12353 in exponential form is:
12353 = 111 × 11231
Step-2: Prime Factorization of 12372
Prime factors of 12372 are 2, 3, 1031. Prime factorization of 12372 in exponential form is:
12372 = 22 × 31 × 10311
Step-3: Factors of 12353
List of positive integer factors of 12353 that divides 12353 without a remainder.
1, 11, 1123
Step-4: Factors of 12372
List of positive integer factors of 12372 that divides 12353 without a remainder.
1, 2, 3, 4, 6, 12, 1031, 2062, 3093, 4124, 6186
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12353 and 12372. The biggest common factor number is the GCF number.
So the greatest common factor 12353 and 12372 is 1.
Also check out the Least Common Multiple of 12353 and 12372
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