What is the Greatest Common Factor of 10241 and 10261?
Greatest common factor (GCF) of 10241 and 10261 is 1.
GCF(10241,10261) = 1
We will now calculate the prime factors of 10241 and 10261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10241 and 10261.
How to find the GCF of 10241 and 10261?
We will first find the prime factorization of 10241 and 10261. After we will calculate the factors of 10241 and 10261 and find the biggest common factor number .
Step-1: Prime Factorization of 10241
Prime factors of 10241 are 7, 11, 19. Prime factorization of 10241 in exponential form is:
10241 = 72 × 111 × 191
Step-2: Prime Factorization of 10261
Prime factors of 10261 are 31, 331. Prime factorization of 10261 in exponential form is:
10261 = 311 × 3311
Step-3: Factors of 10241
List of positive integer factors of 10241 that divides 10241 without a remainder.
1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463
Step-4: Factors of 10261
List of positive integer factors of 10261 that divides 10241 without a remainder.
1, 31, 331
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10241 and 10261. The biggest common factor number is the GCF number.
So the greatest common factor 10241 and 10261 is 1.
Also check out the Least Common Multiple of 10241 and 10261
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