What is the Greatest Common Factor of 71365 and 71378?
Greatest common factor (GCF) of 71365 and 71378 is 1.
GCF(71365,71378) = 1
We will now calculate the prime factors of 71365 and 71378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71365 and 71378.
How to find the GCF of 71365 and 71378?
We will first find the prime factorization of 71365 and 71378. After we will calculate the factors of 71365 and 71378 and find the biggest common factor number .
Step-1: Prime Factorization of 71365
Prime factors of 71365 are 5, 7, 2039. Prime factorization of 71365 in exponential form is:
71365 = 51 × 71 × 20391
Step-2: Prime Factorization of 71378
Prime factors of 71378 are 2, 89, 401. Prime factorization of 71378 in exponential form is:
71378 = 21 × 891 × 4011
Step-3: Factors of 71365
List of positive integer factors of 71365 that divides 71365 without a remainder.
1, 5, 7, 35, 2039, 10195, 14273
Step-4: Factors of 71378
List of positive integer factors of 71378 that divides 71365 without a remainder.
1, 2, 89, 178, 401, 802, 35689
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71365 and 71378. The biggest common factor number is the GCF number.
So the greatest common factor 71365 and 71378 is 1.
Also check out the Least Common Multiple of 71365 and 71378
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Related Greatest Common Factors of 71378
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