What is the Greatest Common Factor of 13258 and 13269?
Greatest common factor (GCF) of 13258 and 13269 is 1.
GCF(13258,13269) = 1
We will now calculate the prime factors of 13258 and 13269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13258 and 13269.
How to find the GCF of 13258 and 13269?
We will first find the prime factorization of 13258 and 13269. After we will calculate the factors of 13258 and 13269 and find the biggest common factor number .
Step-1: Prime Factorization of 13258
Prime factors of 13258 are 2, 7, 947. Prime factorization of 13258 in exponential form is:
13258 = 21 × 71 × 9471
Step-2: Prime Factorization of 13269
Prime factors of 13269 are 3, 4423. Prime factorization of 13269 in exponential form is:
13269 = 31 × 44231
Step-3: Factors of 13258
List of positive integer factors of 13258 that divides 13258 without a remainder.
1, 2, 7, 14, 947, 1894, 6629
Step-4: Factors of 13269
List of positive integer factors of 13269 that divides 13258 without a remainder.
1, 3, 4423
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13258 and 13269. The biggest common factor number is the GCF number.
So the greatest common factor 13258 and 13269 is 1.
Also check out the Least Common Multiple of 13258 and 13269
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