What is the Greatest Common Factor of 71298 and 71310?
Greatest common factor (GCF) of 71298 and 71310 is 6.
GCF(71298,71310) = 6
We will now calculate the prime factors of 71298 and 71310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71298 and 71310.
How to find the GCF of 71298 and 71310?
We will first find the prime factorization of 71298 and 71310. After we will calculate the factors of 71298 and 71310 and find the biggest common factor number .
Step-1: Prime Factorization of 71298
Prime factors of 71298 are 2, 3, 17, 233. Prime factorization of 71298 in exponential form is:
71298 = 21 × 32 × 171 × 2331
Step-2: Prime Factorization of 71310
Prime factors of 71310 are 2, 3, 5, 2377. Prime factorization of 71310 in exponential form is:
71310 = 21 × 31 × 51 × 23771
Step-3: Factors of 71298
List of positive integer factors of 71298 that divides 71298 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 233, 306, 466, 699, 1398, 2097, 3961, 4194, 7922, 11883, 23766, 35649
Step-4: Factors of 71310
List of positive integer factors of 71310 that divides 71298 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71298 and 71310. The biggest common factor number is the GCF number.
So the greatest common factor 71298 and 71310 is 6.
Also check out the Least Common Multiple of 71298 and 71310
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