What is the Greatest Common Factor of 11710 and 11725?
Greatest common factor (GCF) of 11710 and 11725 is 5.
GCF(11710,11725) = 5
We will now calculate the prime factors of 11710 and 11725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11710 and 11725.
How to find the GCF of 11710 and 11725?
We will first find the prime factorization of 11710 and 11725. After we will calculate the factors of 11710 and 11725 and find the biggest common factor number .
Step-1: Prime Factorization of 11710
Prime factors of 11710 are 2, 5, 1171. Prime factorization of 11710 in exponential form is:
11710 = 21 × 51 × 11711
Step-2: Prime Factorization of 11725
Prime factors of 11725 are 5, 7, 67. Prime factorization of 11725 in exponential form is:
11725 = 52 × 71 × 671
Step-3: Factors of 11710
List of positive integer factors of 11710 that divides 11710 without a remainder.
1, 2, 5, 10, 1171, 2342, 5855
Step-4: Factors of 11725
List of positive integer factors of 11725 that divides 11710 without a remainder.
1, 5, 7, 25, 35, 67, 175, 335, 469, 1675, 2345
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11710 and 11725. The biggest common factor number is the GCF number.
So the greatest common factor 11710 and 11725 is 5.
Also check out the Least Common Multiple of 11710 and 11725
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