What is the Greatest Common Factor of 10955 and 10971?
Greatest common factor (GCF) of 10955 and 10971 is 1.
GCF(10955,10971) = 1
We will now calculate the prime factors of 10955 and 10971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10955 and 10971.
How to find the GCF of 10955 and 10971?
We will first find the prime factorization of 10955 and 10971. After we will calculate the factors of 10955 and 10971 and find the biggest common factor number .
Step-1: Prime Factorization of 10955
Prime factors of 10955 are 5, 7, 313. Prime factorization of 10955 in exponential form is:
10955 = 51 × 71 × 3131
Step-2: Prime Factorization of 10971
Prime factors of 10971 are 3, 23, 53. Prime factorization of 10971 in exponential form is:
10971 = 32 × 231 × 531
Step-3: Factors of 10955
List of positive integer factors of 10955 that divides 10955 without a remainder.
1, 5, 7, 35, 313, 1565, 2191
Step-4: Factors of 10971
List of positive integer factors of 10971 that divides 10955 without a remainder.
1, 3, 9, 23, 53, 69, 159, 207, 477, 1219, 3657
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10955 and 10971. The biggest common factor number is the GCF number.
So the greatest common factor 10955 and 10971 is 1.
Also check out the Least Common Multiple of 10955 and 10971
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