What is the Greatest Common Factor of 71508 and 71517?
Greatest common factor (GCF) of 71508 and 71517 is 3.
GCF(71508,71517) = 3
We will now calculate the prime factors of 71508 and 71517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71508 and 71517.
How to find the GCF of 71508 and 71517?
We will first find the prime factorization of 71508 and 71517. After we will calculate the factors of 71508 and 71517 and find the biggest common factor number .
Step-1: Prime Factorization of 71508
Prime factors of 71508 are 2, 3, 59, 101. Prime factorization of 71508 in exponential form is:
71508 = 22 × 31 × 591 × 1011
Step-2: Prime Factorization of 71517
Prime factors of 71517 are 3, 31, 769. Prime factorization of 71517 in exponential form is:
71517 = 31 × 311 × 7691
Step-3: Factors of 71508
List of positive integer factors of 71508 that divides 71508 without a remainder.
1, 2, 3, 4, 6, 12, 59, 101, 118, 177, 202, 236, 303, 354, 404, 606, 708, 1212, 5959, 11918, 17877, 23836, 35754
Step-4: Factors of 71517
List of positive integer factors of 71517 that divides 71508 without a remainder.
1, 3, 31, 93, 769, 2307, 23839
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71508 and 71517. The biggest common factor number is the GCF number.
So the greatest common factor 71508 and 71517 is 3.
Also check out the Least Common Multiple of 71508 and 71517
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