What is the Greatest Common Factor of 71751 and 71770?
Greatest common factor (GCF) of 71751 and 71770 is 1.
GCF(71751,71770) = 1
We will now calculate the prime factors of 71751 and 71770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71751 and 71770.
How to find the GCF of 71751 and 71770?
We will first find the prime factorization of 71751 and 71770. After we will calculate the factors of 71751 and 71770 and find the biggest common factor number .
Step-1: Prime Factorization of 71751
Prime factors of 71751 are 3, 23917. Prime factorization of 71751 in exponential form is:
71751 = 31 × 239171
Step-2: Prime Factorization of 71770
Prime factors of 71770 are 2, 5, 7177. Prime factorization of 71770 in exponential form is:
71770 = 21 × 51 × 71771
Step-3: Factors of 71751
List of positive integer factors of 71751 that divides 71751 without a remainder.
1, 3, 23917
Step-4: Factors of 71770
List of positive integer factors of 71770 that divides 71751 without a remainder.
1, 2, 5, 10, 7177, 14354, 35885
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71751 and 71770. The biggest common factor number is the GCF number.
So the greatest common factor 71751 and 71770 is 1.
Also check out the Least Common Multiple of 71751 and 71770
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