What is the Greatest Common Factor of 597 and 615?
Greatest common factor (GCF) of 597 and 615 is 3.
GCF(597,615) = 3
We will now calculate the prime factors of 597 and 615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 597 and 615.
How to find the GCF of 597 and 615?
We will first find the prime factorization of 597 and 615. After we will calculate the factors of 597 and 615 and find the biggest common factor number .
Step-1: Prime Factorization of 597
Prime factors of 597 are 3, 199. Prime factorization of 597 in exponential form is:
597 = 31 × 1991
Step-2: Prime Factorization of 615
Prime factors of 615 are 3, 5, 41. Prime factorization of 615 in exponential form is:
615 = 31 × 51 × 411
Step-3: Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1, 3, 199
Step-4: Factors of 615
List of positive integer factors of 615 that divides 597 without a remainder.
1, 3, 5, 15, 41, 123, 205
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 597 and 615. The biggest common factor number is the GCF number.
So the greatest common factor 597 and 615 is 3.
Also check out the Least Common Multiple of 597 and 615
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