What is the Greatest Common Factor of 1559 and 1564?
Greatest common factor (GCF) of 1559 and 1564 is 1.
GCF(1559,1564) = 1
We will now calculate the prime factors of 1559 and 1564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1559 and 1564.
How to find the GCF of 1559 and 1564?
We will first find the prime factorization of 1559 and 1564. After we will calculate the factors of 1559 and 1564 and find the biggest common factor number .
Step-1: Prime Factorization of 1559
Prime factors of 1559 are 1559. Prime factorization of 1559 in exponential form is:
1559 = 15591
Step-2: Prime Factorization of 1564
Prime factors of 1564 are 2, 17, 23. Prime factorization of 1564 in exponential form is:
1564 = 22 × 171 × 231
Step-3: Factors of 1559
List of positive integer factors of 1559 that divides 1559 without a remainder.
1
Step-4: Factors of 1564
List of positive integer factors of 1564 that divides 1559 without a remainder.
1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1559 and 1564. The biggest common factor number is the GCF number.
So the greatest common factor 1559 and 1564 is 1.
Also check out the Least Common Multiple of 1559 and 1564
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