What is the Greatest Common Factor of 10254 and 10268?
Greatest common factor (GCF) of 10254 and 10268 is 2.
GCF(10254,10268) = 2
We will now calculate the prime factors of 10254 and 10268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10254 and 10268.
How to find the GCF of 10254 and 10268?
We will first find the prime factorization of 10254 and 10268. After we will calculate the factors of 10254 and 10268 and find the biggest common factor number .
Step-1: Prime Factorization of 10254
Prime factors of 10254 are 2, 3, 1709. Prime factorization of 10254 in exponential form is:
10254 = 21 × 31 × 17091
Step-2: Prime Factorization of 10268
Prime factors of 10268 are 2, 17, 151. Prime factorization of 10268 in exponential form is:
10268 = 22 × 171 × 1511
Step-3: Factors of 10254
List of positive integer factors of 10254 that divides 10254 without a remainder.
1, 2, 3, 6, 1709, 3418, 5127
Step-4: Factors of 10268
List of positive integer factors of 10268 that divides 10254 without a remainder.
1, 2, 4, 17, 34, 68, 151, 302, 604, 2567, 5134
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10254 and 10268. The biggest common factor number is the GCF number.
So the greatest common factor 10254 and 10268 is 2.
Also check out the Least Common Multiple of 10254 and 10268
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