What is the Greatest Common Factor of 598 and 603?
Greatest common factor (GCF) of 598 and 603 is 1.
GCF(598,603) = 1
We will now calculate the prime factors of 598 and 603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 598 and 603.
How to find the GCF of 598 and 603?
We will first find the prime factorization of 598 and 603. After we will calculate the factors of 598 and 603 and find the biggest common factor number .
Step-1: Prime Factorization of 598
Prime factors of 598 are 2, 13, 23. Prime factorization of 598 in exponential form is:
598 = 21 × 131 × 231
Step-2: Prime Factorization of 603
Prime factors of 603 are 3, 67. Prime factorization of 603 in exponential form is:
603 = 32 × 671
Step-3: Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299
Step-4: Factors of 603
List of positive integer factors of 603 that divides 598 without a remainder.
1, 3, 9, 67, 201
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 598 and 603. The biggest common factor number is the GCF number.
So the greatest common factor 598 and 603 is 1.
Also check out the Least Common Multiple of 598 and 603
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