What is the Greatest Common Factor of 34542 and 34559?
Greatest common factor (GCF) of 34542 and 34559 is 1.
GCF(34542,34559) = 1
We will now calculate the prime factors of 34542 and 34559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34542 and 34559.
How to find the GCF of 34542 and 34559?
We will first find the prime factorization of 34542 and 34559. After we will calculate the factors of 34542 and 34559 and find the biggest common factor number .
Step-1: Prime Factorization of 34542
Prime factors of 34542 are 2, 3, 19, 101. Prime factorization of 34542 in exponential form is:
34542 = 21 × 32 × 191 × 1011
Step-2: Prime Factorization of 34559
Prime factors of 34559 are 7, 4937. Prime factorization of 34559 in exponential form is:
34559 = 71 × 49371
Step-3: Factors of 34542
List of positive integer factors of 34542 that divides 34542 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 101, 114, 171, 202, 303, 342, 606, 909, 1818, 1919, 3838, 5757, 11514, 17271
Step-4: Factors of 34559
List of positive integer factors of 34559 that divides 34542 without a remainder.
1, 7, 4937
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34542 and 34559. The biggest common factor number is the GCF number.
So the greatest common factor 34542 and 34559 is 1.
Also check out the Least Common Multiple of 34542 and 34559
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