What is the Greatest Common Factor of 608 and 617?
Greatest common factor (GCF) of 608 and 617 is 1.
GCF(608,617) = 1
We will now calculate the prime factors of 608 and 617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 608 and 617.
How to find the GCF of 608 and 617?
We will first find the prime factorization of 608 and 617. After we will calculate the factors of 608 and 617 and find the biggest common factor number .
Step-1: Prime Factorization of 608
Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:
608 = 25 × 191
Step-2: Prime Factorization of 617
Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:
617 = 6171
Step-3: Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304
Step-4: Factors of 617
List of positive integer factors of 617 that divides 608 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 608 and 617. The biggest common factor number is the GCF number.
So the greatest common factor 608 and 617 is 1.
Also check out the Least Common Multiple of 608 and 617
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