What is the Greatest Common Factor of 563 and 574?
Greatest common factor (GCF) of 563 and 574 is 1.
GCF(563,574) = 1
We will now calculate the prime factors of 563 and 574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 563 and 574.
How to find the GCF of 563 and 574?
We will first find the prime factorization of 563 and 574. After we will calculate the factors of 563 and 574 and find the biggest common factor number .
Step-1: Prime Factorization of 563
Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:
563 = 5631
Step-2: Prime Factorization of 574
Prime factors of 574 are 2, 7, 41. Prime factorization of 574 in exponential form is:
574 = 21 × 71 × 411
Step-3: Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1
Step-4: Factors of 574
List of positive integer factors of 574 that divides 563 without a remainder.
1, 2, 7, 14, 41, 82, 287
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 563 and 574. The biggest common factor number is the GCF number.
So the greatest common factor 563 and 574 is 1.
Also check out the Least Common Multiple of 563 and 574
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