What is the Greatest Common Factor of 8598 and 8608?
Greatest common factor (GCF) of 8598 and 8608 is 2.
GCF(8598,8608) = 2
We will now calculate the prime factors of 8598 and 8608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8598 and 8608.
How to find the GCF of 8598 and 8608?
We will first find the prime factorization of 8598 and 8608. After we will calculate the factors of 8598 and 8608 and find the biggest common factor number .
Step-1: Prime Factorization of 8598
Prime factors of 8598 are 2, 3, 1433. Prime factorization of 8598 in exponential form is:
8598 = 21 × 31 × 14331
Step-2: Prime Factorization of 8608
Prime factors of 8608 are 2, 269. Prime factorization of 8608 in exponential form is:
8608 = 25 × 2691
Step-3: Factors of 8598
List of positive integer factors of 8598 that divides 8598 without a remainder.
1, 2, 3, 6, 1433, 2866, 4299
Step-4: Factors of 8608
List of positive integer factors of 8608 that divides 8598 without a remainder.
1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8598 and 8608. The biggest common factor number is the GCF number.
So the greatest common factor 8598 and 8608 is 2.
Also check out the Least Common Multiple of 8598 and 8608
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